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Finding the Fourth Proportional to 2,458.52, 3,687.79 and 2,024.77

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Solution

The fourth proportional to 2,458.52, 3,687.79 and 2,024.77 is: 3,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.52 : 3,687.79 = 2,024.77 : x
  2. Step 2: Convert to fraction form
    2,458.52/3,687.79 = 2,024.77/x
  3. Step 3: Cross multiply
    2,458.52x = 3,687.79 × 2,024.77
  4. Step 4: Simplify right side
    2,458.52x = 7,466,926.56
  5. Step 5: Solve for x
    x = 7,466,926.56/2,458.52
  6. Step 6: Final answer
    x = 3,037.16

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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.