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Finding the Fourth Proportional to 2,654.40, 3,981.60 and 2,041.20

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Solution

The fourth proportional to 2,654.40, 3,981.60 and 2,041.20 is: 3,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.40 : 3,981.60 = 2,041.20 : x
  2. Step 2: Convert to fraction form
    2,654.40/3,981.60 = 2,041.20/x
  3. Step 3: Cross multiply
    2,654.40x = 3,981.60 × 2,041.20
  4. Step 4: Simplify right side
    2,654.40x = 8,127,241.92
  5. Step 5: Solve for x
    x = 8,127,241.92/2,654.40
  6. Step 6: Final answer
    x = 3,061.80

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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.