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Finding the Fourth Proportional to 1,581.04, 2,181.96 and 918.10

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Solution

The fourth proportional to 1,581.04, 2,181.96 and 918.10 is: 1,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.04 : 2,181.96 = 918.10 : x
  2. Step 2: Convert to fraction form
    1,581.04/2,181.96 = 918.10/x
  3. Step 3: Cross multiply
    1,581.04x = 2,181.96 × 918.10
  4. Step 4: Simplify right side
    1,581.04x = 2,003,257.48
  5. Step 5: Solve for x
    x = 2,003,257.48/1,581.04
  6. Step 6: Final answer
    x = 1,267.05

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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.