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Finding the Fourth Proportional to 2,484.35, 3,726.53 and 752.75

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Solution

The fourth proportional to 2,484.35, 3,726.53 and 752.75 is: 1,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.35 : 3,726.53 = 752.75 : x
  2. Step 2: Convert to fraction form
    2,484.35/3,726.53 = 752.75/x
  3. Step 3: Cross multiply
    2,484.35x = 3,726.53 × 752.75
  4. Step 4: Simplify right side
    2,484.35x = 2,805,141.69
  5. Step 5: Solve for x
    x = 2,805,141.69/2,484.35
  6. Step 6: Final answer
    x = 1,129.13

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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.