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Finding the Fourth Proportional to 1,902.97, 2,853.91 and 732.89

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Solution

The fourth proportional to 1,902.97, 2,853.91 and 732.89 is: 1,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.97 : 2,853.91 = 732.89 : x
  2. Step 2: Convert to fraction form
    1,902.97/2,853.91 = 732.89/x
  3. Step 3: Cross multiply
    1,902.97x = 2,853.91 × 732.89
  4. Step 4: Simplify right side
    1,902.97x = 2,091,602.10
  5. Step 5: Solve for x
    x = 2,091,602.10/1,902.97
  6. Step 6: Final answer
    x = 1,099.13

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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.