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Finding the Fourth Proportional to 2,895.97, 3,996.45 and 1,569.68

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Solution

The fourth proportional to 2,895.97, 3,996.45 and 1,569.68 is: 2,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.97 : 3,996.45 = 1,569.68 : x
  2. Step 2: Convert to fraction form
    2,895.97/3,996.45 = 1,569.68/x
  3. Step 3: Cross multiply
    2,895.97x = 3,996.45 × 1,569.68
  4. Step 4: Simplify right side
    2,895.97x = 6,273,147.64
  5. Step 5: Solve for x
    x = 6,273,147.64/2,895.97
  6. Step 6: Final answer
    x = 2,166.16

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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.