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Finding the Fourth Proportional to 2,064.59, 2,850.14 and 1,563.29

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Solution

The fourth proportional to 2,064.59, 2,850.14 and 1,563.29 is: 2,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.59 : 2,850.14 = 1,563.29 : x
  2. Step 2: Convert to fraction form
    2,064.59/2,850.14 = 1,563.29/x
  3. Step 3: Cross multiply
    2,064.59x = 2,850.14 × 1,563.29
  4. Step 4: Simplify right side
    2,064.59x = 4,455,587.54
  5. Step 5: Solve for x
    x = 4,455,587.54/2,064.59
  6. Step 6: Final answer
    x = 2,158.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.