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Finding the Fourth Proportional to 1,446.91, 1,996.25 and 915.65

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Solution

The fourth proportional to 1,446.91, 1,996.25 and 915.65 is: 1,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.91 : 1,996.25 = 915.65 : x
  2. Step 2: Convert to fraction form
    1,446.91/1,996.25 = 915.65/x
  3. Step 3: Cross multiply
    1,446.91x = 1,996.25 × 915.65
  4. Step 4: Simplify right side
    1,446.91x = 1,827,870.47
  5. Step 5: Solve for x
    x = 1,827,870.47/1,446.91
  6. Step 6: Final answer
    x = 1,263.29

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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.