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Finding the Fourth Proportional to 2,039.57, 3,059.35 and 500.57

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Solution

The fourth proportional to 2,039.57, 3,059.35 and 500.57 is: 750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.57 : 3,059.35 = 500.57 : x
  2. Step 2: Convert to fraction form
    2,039.57/3,059.35 = 500.57/x
  3. Step 3: Cross multiply
    2,039.57x = 3,059.35 × 500.57
  4. Step 4: Simplify right side
    2,039.57x = 1,531,403.53
  5. Step 5: Solve for x
    x = 1,531,403.53/2,039.57
  6. Step 6: Final answer
    x = 750.85

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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.