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Finding the Fourth Proportional to 2,301.62, 3,450.45 and 915.94

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Solution

The fourth proportional to 2,301.62, 3,450.45 and 915.94 is: 1,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.62 : 3,450.45 = 915.94 : x
  2. Step 2: Convert to fraction form
    2,301.62/3,450.45 = 915.94/x
  3. Step 3: Cross multiply
    2,301.62x = 3,450.45 × 915.94
  4. Step 4: Simplify right side
    2,301.62x = 3,160,387.92
  5. Step 5: Solve for x
    x = 3,160,387.92/2,301.62
  6. Step 6: Final answer
    x = 1,373.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.