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Finding the Fourth Proportional to 1,474.84, 2,035.02 and 915.13

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Solution

The fourth proportional to 1,474.84, 2,035.02 and 915.13 is: 1,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.84 : 2,035.02 = 915.13 : x
  2. Step 2: Convert to fraction form
    1,474.84/2,035.02 = 915.13/x
  3. Step 3: Cross multiply
    1,474.84x = 2,035.02 × 915.13
  4. Step 4: Simplify right side
    1,474.84x = 1,862,307.85
  5. Step 5: Solve for x
    x = 1,862,307.85/1,474.84
  6. Step 6: Final answer
    x = 1,262.72

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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.