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Finding the Fourth Proportional to 2,030.52, 3,045.78 and 731.96

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Solution

The fourth proportional to 2,030.52, 3,045.78 and 731.96 is: 1,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.52 : 3,045.78 = 731.96 : x
  2. Step 2: Convert to fraction form
    2,030.52/3,045.78 = 731.96/x
  3. Step 3: Cross multiply
    2,030.52x = 3,045.78 × 731.96
  4. Step 4: Simplify right side
    2,030.52x = 2,229,389.13
  5. Step 5: Solve for x
    x = 2,229,389.13/2,030.52
  6. Step 6: Final answer
    x = 1,097.94

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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.