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Finding the Fourth Proportional to 4,452.40, 6,678.60 and 2,148.40

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Solution

The fourth proportional to 4,452.40, 6,678.60 and 2,148.40 is: 3,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.40 : 6,678.60 = 2,148.40 : x
  2. Step 2: Convert to fraction form
    4,452.40/6,678.60 = 2,148.40/x
  3. Step 3: Cross multiply
    4,452.40x = 6,678.60 × 2,148.40
  4. Step 4: Simplify right side
    4,452.40x = 14,348,304.24
  5. Step 5: Solve for x
    x = 14,348,304.24/4,452.40
  6. Step 6: Final answer
    x = 3,222.60

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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.