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Finding the Fourth Proportional to 2,502.49, 3,750.76 and 1,166.49

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Solution

The fourth proportional to 2,502.49, 3,750.76 and 1,166.49 is: 1,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.49 : 3,750.76 = 1,166.49 : x
  2. Step 2: Convert to fraction form
    2,502.49/3,750.76 = 1,166.49/x
  3. Step 3: Cross multiply
    2,502.49x = 3,750.76 × 1,166.49
  4. Step 4: Simplify right side
    2,502.49x = 4,375,224.03
  5. Step 5: Solve for x
    x = 4,375,224.03/2,502.49
  6. Step 6: Final answer
    x = 1,748.35

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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.