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Finding the Fourth Proportional to 1,498.87, 2,248.26 and 1,408.69

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Solution

The fourth proportional to 1,498.87, 2,248.26 and 1,408.69 is: 2,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.87 : 2,248.26 = 1,408.69 : x
  2. Step 2: Convert to fraction form
    1,498.87/2,248.26 = 1,408.69/x
  3. Step 3: Cross multiply
    1,498.87x = 2,248.26 × 1,408.69
  4. Step 4: Simplify right side
    1,498.87x = 3,167,101.38
  5. Step 5: Solve for x
    x = 3,167,101.38/1,498.87
  6. Step 6: Final answer
    x = 2,112.99

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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.