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Finding the Fourth Proportional to 1,438.59, 1,984.17 and 914.79

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Solution

The fourth proportional to 1,438.59, 1,984.17 and 914.79 is: 1,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.59 : 1,984.17 = 914.79 : x
  2. Step 2: Convert to fraction form
    1,438.59/1,984.17 = 914.79/x
  3. Step 3: Cross multiply
    1,438.59x = 1,984.17 × 914.79
  4. Step 4: Simplify right side
    1,438.59x = 1,815,098.87
  5. Step 5: Solve for x
    x = 1,815,098.87/1,438.59
  6. Step 6: Final answer
    x = 1,261.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.