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Finding the Fourth Proportional to 1,374.72, 1,896.46 and 902.42

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Solution

The fourth proportional to 1,374.72, 1,896.46 and 902.42 is: 1,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.72 : 1,896.46 = 902.42 : x
  2. Step 2: Convert to fraction form
    1,374.72/1,896.46 = 902.42/x
  3. Step 3: Cross multiply
    1,374.72x = 1,896.46 × 902.42
  4. Step 4: Simplify right side
    1,374.72x = 1,711,403.43
  5. Step 5: Solve for x
    x = 1,711,403.43/1,374.72
  6. Step 6: Final answer
    x = 1,244.91

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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.