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Finding the Fourth Proportional to 2,171.60, 3,256.44 and 632.72

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Solution

The fourth proportional to 2,171.60, 3,256.44 and 632.72 is: 948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.60 : 3,256.44 = 632.72 : x
  2. Step 2: Convert to fraction form
    2,171.60/3,256.44 = 632.72/x
  3. Step 3: Cross multiply
    2,171.60x = 3,256.44 × 632.72
  4. Step 4: Simplify right side
    2,171.60x = 2,060,414.72
  5. Step 5: Solve for x
    x = 2,060,414.72/2,171.60
  6. Step 6: Final answer
    x = 948.80

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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.