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Finding the Fourth Proportional to 2,093.80, 3,140.70 and 1,000.30

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Solution

The fourth proportional to 2,093.80, 3,140.70 and 1,000.30 is: 1,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.80 : 3,140.70 = 1,000.30 : x
  2. Step 2: Convert to fraction form
    2,093.80/3,140.70 = 1,000.30/x
  3. Step 3: Cross multiply
    2,093.80x = 3,140.70 × 1,000.30
  4. Step 4: Simplify right side
    2,093.80x = 3,141,642.21
  5. Step 5: Solve for x
    x = 3,141,642.21/2,093.80
  6. Step 6: Final answer
    x = 1,500.45

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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.