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Finding the Fourth Proportional to 1,861.63, 2,569.08 and 1,022.32

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Solution

The fourth proportional to 1,861.63, 2,569.08 and 1,022.32 is: 1,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.63 : 2,569.08 = 1,022.32 : x
  2. Step 2: Convert to fraction form
    1,861.63/2,569.08 = 1,022.32/x
  3. Step 3: Cross multiply
    1,861.63x = 2,569.08 × 1,022.32
  4. Step 4: Simplify right side
    1,861.63x = 2,626,409.02
  5. Step 5: Solve for x
    x = 2,626,409.02/1,861.63
  6. Step 6: Final answer
    x = 1,410.82

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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.