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Finding the Fourth Proportional to 1,374.18, 1,896.56 and 814.98

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Solution

The fourth proportional to 1,374.18, 1,896.56 and 814.98 is: 1,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.18 : 1,896.56 = 814.98 : x
  2. Step 2: Convert to fraction form
    1,374.18/1,896.56 = 814.98/x
  3. Step 3: Cross multiply
    1,374.18x = 1,896.56 × 814.98
  4. Step 4: Simplify right side
    1,374.18x = 1,545,654.39
  5. Step 5: Solve for x
    x = 1,545,654.39/1,374.18
  6. Step 6: Final answer
    x = 1,124.78

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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.