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Finding the Fourth Proportional to 1,419.52, 2,123.88 and 854.53

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Solution

The fourth proportional to 1,419.52, 2,123.88 and 854.53 is: 1,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.52 : 2,123.88 = 854.53 : x
  2. Step 2: Convert to fraction form
    1,419.52/2,123.88 = 854.53/x
  3. Step 3: Cross multiply
    1,419.52x = 2,123.88 × 854.53
  4. Step 4: Simplify right side
    1,419.52x = 1,814,919.18
  5. Step 5: Solve for x
    x = 1,814,919.18/1,419.52
  6. Step 6: Final answer
    x = 1,278.54

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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.