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Finding the Fourth Proportional to 2,175.32, 3,264.33 and 942.75

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Solution

The fourth proportional to 2,175.32, 3,264.33 and 942.75 is: 1,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.32 : 3,264.33 = 942.75 : x
  2. Step 2: Convert to fraction form
    2,175.32/3,264.33 = 942.75/x
  3. Step 3: Cross multiply
    2,175.32x = 3,264.33 × 942.75
  4. Step 4: Simplify right side
    2,175.32x = 3,077,426.62
  5. Step 5: Solve for x
    x = 3,077,426.62/2,175.32
  6. Step 6: Final answer
    x = 1,414.70

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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.