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Finding the Fourth Proportional to 1,405.17, 1,939.31 and 815.73

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Solution

The fourth proportional to 1,405.17, 1,939.31 and 815.73 is: 1,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.17 : 1,939.31 = 815.73 : x
  2. Step 2: Convert to fraction form
    1,405.17/1,939.31 = 815.73/x
  3. Step 3: Cross multiply
    1,405.17x = 1,939.31 × 815.73
  4. Step 4: Simplify right side
    1,405.17x = 1,581,953.35
  5. Step 5: Solve for x
    x = 1,581,953.35/1,405.17
  6. Step 6: Final answer
    x = 1,125.81

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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.