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Finding the Fourth Proportional to 2,765.97, 4,141.89 and 1,532.01

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Solution

The fourth proportional to 2,765.97, 4,141.89 and 1,532.01 is: 2,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.97 : 4,141.89 = 1,532.01 : x
  2. Step 2: Convert to fraction form
    2,765.97/4,141.89 = 1,532.01/x
  3. Step 3: Cross multiply
    2,765.97x = 4,141.89 × 1,532.01
  4. Step 4: Simplify right side
    2,765.97x = 6,345,416.90
  5. Step 5: Solve for x
    x = 6,345,416.90/2,765.97
  6. Step 6: Final answer
    x = 2,294.10

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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.