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Finding the Fourth Proportional to 2,073.90, 3,111.14 and 757.48

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Solution

The fourth proportional to 2,073.90, 3,111.14 and 757.48 is: 1,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.90 : 3,111.14 = 757.48 : x
  2. Step 2: Convert to fraction form
    2,073.90/3,111.14 = 757.48/x
  3. Step 3: Cross multiply
    2,073.90x = 3,111.14 × 757.48
  4. Step 4: Simplify right side
    2,073.90x = 2,356,614.76
  5. Step 5: Solve for x
    x = 2,356,614.76/2,073.90
  6. Step 6: Final answer
    x = 1,136.32

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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.