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Finding the Fourth Proportional to 1,861.67, 2,569.10 and 1,022.42

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Solution

The fourth proportional to 1,861.67, 2,569.10 and 1,022.42 is: 1,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.67 : 2,569.10 = 1,022.42 : x
  2. Step 2: Convert to fraction form
    1,861.67/2,569.10 = 1,022.42/x
  3. Step 3: Cross multiply
    1,861.67x = 2,569.10 × 1,022.42
  4. Step 4: Simplify right side
    1,861.67x = 2,626,705.64
  5. Step 5: Solve for x
    x = 2,626,705.64/1,861.67
  6. Step 6: Final answer
    x = 1,410.94

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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.