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Finding the Fourth Proportional to 1,861.92, 2,569.52 and 1,022.66

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Solution

The fourth proportional to 1,861.92, 2,569.52 and 1,022.66 is: 1,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.92 : 2,569.52 = 1,022.66 : x
  2. Step 2: Convert to fraction form
    1,861.92/2,569.52 = 1,022.66/x
  3. Step 3: Cross multiply
    1,861.92x = 2,569.52 × 1,022.66
  4. Step 4: Simplify right side
    1,861.92x = 2,627,744.67
  5. Step 5: Solve for x
    x = 2,627,744.67/1,861.92
  6. Step 6: Final answer
    x = 1,411.31

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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.