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Finding the Fourth Proportional to 2,498.70, 3,748.66 and 1,037.06

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Solution

The fourth proportional to 2,498.70, 3,748.66 and 1,037.06 is: 1,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.70 : 3,748.66 = 1,037.06 : x
  2. Step 2: Convert to fraction form
    2,498.70/3,748.66 = 1,037.06/x
  3. Step 3: Cross multiply
    2,498.70x = 3,748.66 × 1,037.06
  4. Step 4: Simplify right side
    2,498.70x = 3,887,561.41
  5. Step 5: Solve for x
    x = 3,887,561.41/2,498.70
  6. Step 6: Final answer
    x = 1,555.83

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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.