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Finding the Fourth Proportional to 1,438.56, 1,984.74 and 914.52

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Solution

The fourth proportional to 1,438.56, 1,984.74 and 914.52 is: 1,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.56 : 1,984.74 = 914.52 : x
  2. Step 2: Convert to fraction form
    1,438.56/1,984.74 = 914.52/x
  3. Step 3: Cross multiply
    1,438.56x = 1,984.74 × 914.52
  4. Step 4: Simplify right side
    1,438.56x = 1,815,084.42
  5. Step 5: Solve for x
    x = 1,815,084.42/1,438.56
  6. Step 6: Final answer
    x = 1,261.74

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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.