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Finding the Fourth Proportional to 2,875.26, 4,306.47 and 2,500.26

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Solution

The fourth proportional to 2,875.26, 4,306.47 and 2,500.26 is: 3,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.26 : 4,306.47 = 2,500.26 : x
  2. Step 2: Convert to fraction form
    2,875.26/4,306.47 = 2,500.26/x
  3. Step 3: Cross multiply
    2,875.26x = 4,306.47 × 2,500.26
  4. Step 4: Simplify right side
    2,875.26x = 10,767,294.68
  5. Step 5: Solve for x
    x = 10,767,294.68/2,875.26
  6. Step 6: Final answer
    x = 3,744.81

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