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Finding the Fourth Proportional to 1,474.39, 2,035.49 and 915.09

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Solution

The fourth proportional to 1,474.39, 2,035.49 and 915.09 is: 1,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.39 : 2,035.49 = 915.09 : x
  2. Step 2: Convert to fraction form
    1,474.39/2,035.49 = 915.09/x
  3. Step 3: Cross multiply
    1,474.39x = 2,035.49 × 915.09
  4. Step 4: Simplify right side
    1,474.39x = 1,862,656.54
  5. Step 5: Solve for x
    x = 1,862,656.54/1,474.39
  6. Step 6: Final answer
    x = 1,263.34

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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.