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Finding the Fourth Proportional to 1,569.92, 2,165.55 and 1,046.66

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Solution

The fourth proportional to 1,569.92, 2,165.55 and 1,046.66 is: 1,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.92 : 2,165.55 = 1,046.66 : x
  2. Step 2: Convert to fraction form
    1,569.92/2,165.55 = 1,046.66/x
  3. Step 3: Cross multiply
    1,569.92x = 2,165.55 × 1,046.66
  4. Step 4: Simplify right side
    1,569.92x = 2,266,594.56
  5. Step 5: Solve for x
    x = 2,266,594.56/1,569.92
  6. Step 6: Final answer
    x = 1,443.76

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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.