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Finding the Fourth Proportional to 2,515.49, 3,773.27 and 760.51

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Solution

The fourth proportional to 2,515.49, 3,773.27 and 760.51 is: 1,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.49 : 3,773.27 = 760.51 : x
  2. Step 2: Convert to fraction form
    2,515.49/3,773.27 = 760.51/x
  3. Step 3: Cross multiply
    2,515.49x = 3,773.27 × 760.51
  4. Step 4: Simplify right side
    2,515.49x = 2,869,600.13
  5. Step 5: Solve for x
    x = 2,869,600.13/2,515.49
  6. Step 6: Final answer
    x = 1,140.77

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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.