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Finding the Fourth Proportional to 1,618.80, 2,233.92 and 910.59

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Solution

The fourth proportional to 1,618.80, 2,233.92 and 910.59 is: 1,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.80 : 2,233.92 = 910.59 : x
  2. Step 2: Convert to fraction form
    1,618.80/2,233.92 = 910.59/x
  3. Step 3: Cross multiply
    1,618.80x = 2,233.92 × 910.59
  4. Step 4: Simplify right side
    1,618.80x = 2,034,185.21
  5. Step 5: Solve for x
    x = 2,034,185.21/1,618.80
  6. Step 6: Final answer
    x = 1,256.60

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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.