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Finding the Fourth Proportional to 2,425.60, 3,643.80 and 2,327.20

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Solution

The fourth proportional to 2,425.60, 3,643.80 and 2,327.20 is: 3,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.60 : 3,643.80 = 2,327.20 : x
  2. Step 2: Convert to fraction form
    2,425.60/3,643.80 = 2,327.20/x
  3. Step 3: Cross multiply
    2,425.60x = 3,643.80 × 2,327.20
  4. Step 4: Simplify right side
    2,425.60x = 8,479,851.36
  5. Step 5: Solve for x
    x = 8,479,851.36/2,425.60
  6. Step 6: Final answer
    x = 3,495.98

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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.