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Finding the Fourth Proportional to 2,891.16, 3,989.82 and 1,564.88

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Solution

The fourth proportional to 2,891.16, 3,989.82 and 1,564.88 is: 2,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.16 : 3,989.82 = 1,564.88 : x
  2. Step 2: Convert to fraction form
    2,891.16/3,989.82 = 1,564.88/x
  3. Step 3: Cross multiply
    2,891.16x = 3,989.82 × 1,564.88
  4. Step 4: Simplify right side
    2,891.16x = 6,243,569.57
  5. Step 5: Solve for x
    x = 6,243,569.57/2,891.16
  6. Step 6: Final answer
    x = 2,159.54

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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.