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Finding the Fourth Proportional to 2,541.96, 3,805.20 and 2,320.02

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Solution

The fourth proportional to 2,541.96, 3,805.20 and 2,320.02 is: 3,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.96 : 3,805.20 = 2,320.02 : x
  2. Step 2: Convert to fraction form
    2,541.96/3,805.20 = 2,320.02/x
  3. Step 3: Cross multiply
    2,541.96x = 3,805.20 × 2,320.02
  4. Step 4: Simplify right side
    2,541.96x = 8,828,140.10
  5. Step 5: Solve for x
    x = 8,828,140.10/2,541.96
  6. Step 6: Final answer
    x = 3,472.97

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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.