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Finding the Fourth Proportional to 2,967.62, 4,095.25 and 1,641.24

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Solution

The fourth proportional to 2,967.62, 4,095.25 and 1,641.24 is: 2,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.62 : 4,095.25 = 1,641.24 : x
  2. Step 2: Convert to fraction form
    2,967.62/4,095.25 = 1,641.24/x
  3. Step 3: Cross multiply
    2,967.62x = 4,095.25 × 1,641.24
  4. Step 4: Simplify right side
    2,967.62x = 6,721,284.01
  5. Step 5: Solve for x
    x = 6,721,284.01/2,967.62
  6. Step 6: Final answer
    x = 2,264.88

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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.