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Finding the Fourth Proportional to 2,382.32, 3,573.12 and 921.29

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Solution

The fourth proportional to 2,382.32, 3,573.12 and 921.29 is: 1,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.32 : 3,573.12 = 921.29 : x
  2. Step 2: Convert to fraction form
    2,382.32/3,573.12 = 921.29/x
  3. Step 3: Cross multiply
    2,382.32x = 3,573.12 × 921.29
  4. Step 4: Simplify right side
    2,382.32x = 3,291,879.72
  5. Step 5: Solve for x
    x = 3,291,879.72/2,382.32
  6. Step 6: Final answer
    x = 1,381.80

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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.