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Finding the Fourth Proportional to 1,498.36, 2,248.05 and 914.53

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Solution

The fourth proportional to 1,498.36, 2,248.05 and 914.53 is: 1,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.36 : 2,248.05 = 914.53 : x
  2. Step 2: Convert to fraction form
    1,498.36/2,248.05 = 914.53/x
  3. Step 3: Cross multiply
    1,498.36x = 2,248.05 × 914.53
  4. Step 4: Simplify right side
    1,498.36x = 2,055,909.17
  5. Step 5: Solve for x
    x = 2,055,909.17/1,498.36
  6. Step 6: Final answer
    x = 1,372.11

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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.