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Finding the Fourth Proportional to 1,896,000.10, 2,844,000.15 and 1,843,512.10

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Solution

The fourth proportional to 1,896,000.10, 2,844,000.15 and 1,843,512.10 is: 2,765,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,000.10 : 2,844,000.15 = 1,843,512.10 : x
  2. Step 2: Convert to fraction form
    1,896,000.10/2,844,000.15 = 1,843,512.10/x
  3. Step 3: Cross multiply
    1,896,000.10x = 2,844,000.15 × 1,843,512.10
  4. Step 4: Simplify right side
    1,896,000.10x = 5,242,948,688,926.82
  5. Step 5: Solve for x
    x = 5,242,948,688,926.82/1,896,000.10
  6. Step 6: Final answer
    x = 2,765,268.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.