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Finding the Fourth Proportional to 1,373.92, 1,895.84 and 814.40

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Solution

The fourth proportional to 1,373.92, 1,895.84 and 814.40 is: 1,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.92 : 1,895.84 = 814.40 : x
  2. Step 2: Convert to fraction form
    1,373.92/1,895.84 = 814.40/x
  3. Step 3: Cross multiply
    1,373.92x = 1,895.84 × 814.40
  4. Step 4: Simplify right side
    1,373.92x = 1,543,972.10
  5. Step 5: Solve for x
    x = 1,543,972.10/1,373.92
  6. Step 6: Final answer
    x = 1,123.77

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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.