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Finding the Fourth Proportional to 2,498.62, 3,746.01 and 938.59

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Solution

The fourth proportional to 2,498.62, 3,746.01 and 938.59 is: 1,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.62 : 3,746.01 = 938.59 : x
  2. Step 2: Convert to fraction form
    2,498.62/3,746.01 = 938.59/x
  3. Step 3: Cross multiply
    2,498.62x = 3,746.01 × 938.59
  4. Step 4: Simplify right side
    2,498.62x = 3,515,962.83
  5. Step 5: Solve for x
    x = 3,515,962.83/2,498.62
  6. Step 6: Final answer
    x = 1,407.16

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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.