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Finding the Fourth Proportional to 1,446.41, 1,996.50 and 915.45

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Solution

The fourth proportional to 1,446.41, 1,996.50 and 915.45 is: 1,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.41 : 1,996.50 = 915.45 : x
  2. Step 2: Convert to fraction form
    1,446.41/1,996.50 = 915.45/x
  3. Step 3: Cross multiply
    1,446.41x = 1,996.50 × 915.45
  4. Step 4: Simplify right side
    1,446.41x = 1,827,695.93
  5. Step 5: Solve for x
    x = 1,827,695.93/1,446.41
  6. Step 6: Final answer
    x = 1,263.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.