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Finding the Fourth Proportional to 2,652.80, 3,982.08 and 2,470.40

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Solution

The fourth proportional to 2,652.80, 3,982.08 and 2,470.40 is: 3,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.80 : 3,982.08 = 2,470.40 : x
  2. Step 2: Convert to fraction form
    2,652.80/3,982.08 = 2,470.40/x
  3. Step 3: Cross multiply
    2,652.80x = 3,982.08 × 2,470.40
  4. Step 4: Simplify right side
    2,652.80x = 9,837,330.43
  5. Step 5: Solve for x
    x = 9,837,330.43/2,652.80
  6. Step 6: Final answer
    x = 3,708.28

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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.