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Finding the Fourth Proportional to 1,861.77, 2,569.34 and 1,022.47

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Solution

The fourth proportional to 1,861.77, 2,569.34 and 1,022.47 is: 1,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.77 : 2,569.34 = 1,022.47 : x
  2. Step 2: Convert to fraction form
    1,861.77/2,569.34 = 1,022.47/x
  3. Step 3: Cross multiply
    1,861.77x = 2,569.34 × 1,022.47
  4. Step 4: Simplify right side
    1,861.77x = 2,627,055.11
  5. Step 5: Solve for x
    x = 2,627,055.11/1,861.77
  6. Step 6: Final answer
    x = 1,411.05

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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.