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Finding the Fourth Proportional to 2,498.72, 3,748.41 and 938.66

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Solution

The fourth proportional to 2,498.72, 3,748.41 and 938.66 is: 1,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.72 : 3,748.41 = 938.66 : x
  2. Step 2: Convert to fraction form
    2,498.72/3,748.41 = 938.66/x
  3. Step 3: Cross multiply
    2,498.72x = 3,748.41 × 938.66
  4. Step 4: Simplify right side
    2,498.72x = 3,518,463.79
  5. Step 5: Solve for x
    x = 3,518,463.79/2,498.72
  6. Step 6: Final answer
    x = 1,408.11

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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.