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Finding the Fourth Proportional to 2,820.32, 3,891.72 and 1,641.14

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Solution

The fourth proportional to 2,820.32, 3,891.72 and 1,641.14 is: 2,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.32 : 3,891.72 = 1,641.14 : x
  2. Step 2: Convert to fraction form
    2,820.32/3,891.72 = 1,641.14/x
  3. Step 3: Cross multiply
    2,820.32x = 3,891.72 × 1,641.14
  4. Step 4: Simplify right side
    2,820.32x = 6,386,857.36
  5. Step 5: Solve for x
    x = 6,386,857.36/2,820.32
  6. Step 6: Final answer
    x = 2,264.59

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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.