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Finding the Fourth Proportional to 2,498.62, 3,748.06 and 649.74

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Solution

The fourth proportional to 2,498.62, 3,748.06 and 649.74 is: 974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.62 : 3,748.06 = 649.74 : x
  2. Step 2: Convert to fraction form
    2,498.62/3,748.06 = 649.74/x
  3. Step 3: Cross multiply
    2,498.62x = 3,748.06 × 649.74
  4. Step 4: Simplify right side
    2,498.62x = 2,435,279.37
  5. Step 5: Solve for x
    x = 2,435,279.37/2,498.62
  6. Step 6: Final answer
    x = 974.65

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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.