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Finding the Fourth Proportional to 2,742.80, 4,114.20 and 2,548.40

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Solution

The fourth proportional to 2,742.80, 4,114.20 and 2,548.40 is: 3,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.80 : 4,114.20 = 2,548.40 : x
  2. Step 2: Convert to fraction form
    2,742.80/4,114.20 = 2,548.40/x
  3. Step 3: Cross multiply
    2,742.80x = 4,114.20 × 2,548.40
  4. Step 4: Simplify right side
    2,742.80x = 10,484,627.28
  5. Step 5: Solve for x
    x = 10,484,627.28/2,742.80
  6. Step 6: Final answer
    x = 3,822.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.