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Finding the Fourth Proportional to 1,581.60, 2,182.26 and 918.08

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Solution

The fourth proportional to 1,581.60, 2,182.26 and 918.08 is: 1,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.60 : 2,182.26 = 918.08 : x
  2. Step 2: Convert to fraction form
    1,581.60/2,182.26 = 918.08/x
  3. Step 3: Cross multiply
    1,581.60x = 2,182.26 × 918.08
  4. Step 4: Simplify right side
    1,581.60x = 2,003,489.26
  5. Step 5: Solve for x
    x = 2,003,489.26/1,581.60
  6. Step 6: Final answer
    x = 1,266.75

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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.