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Finding the Fourth Proportional to 3,374.44, 4,656.76 and 2,197.60

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Solution

The fourth proportional to 3,374.44, 4,656.76 and 2,197.60 is: 3,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.44 : 4,656.76 = 2,197.60 : x
  2. Step 2: Convert to fraction form
    3,374.44/4,656.76 = 2,197.60/x
  3. Step 3: Cross multiply
    3,374.44x = 4,656.76 × 2,197.60
  4. Step 4: Simplify right side
    3,374.44x = 10,233,695.78
  5. Step 5: Solve for x
    x = 10,233,695.78/3,374.44
  6. Step 6: Final answer
    x = 3,032.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.