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Finding the Fourth Proportional to 1,568.82, 2,165.04 and 896.52

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Solution

The fourth proportional to 1,568.82, 2,165.04 and 896.52 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.82 : 2,165.04 = 896.52 : x
  2. Step 2: Convert to fraction form
    1,568.82/2,165.04 = 896.52/x
  3. Step 3: Cross multiply
    1,568.82x = 2,165.04 × 896.52
  4. Step 4: Simplify right side
    1,568.82x = 1,941,001.66
  5. Step 5: Solve for x
    x = 1,941,001.66/1,568.82
  6. Step 6: Final answer
    x = 1,237.24

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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.