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Finding the Fourth Proportional to 1,456.16, 2,008.56 and 866.26

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Solution

The fourth proportional to 1,456.16, 2,008.56 and 866.26 is: 1,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.16 : 2,008.56 = 866.26 : x
  2. Step 2: Convert to fraction form
    1,456.16/2,008.56 = 866.26/x
  3. Step 3: Cross multiply
    1,456.16x = 2,008.56 × 866.26
  4. Step 4: Simplify right side
    1,456.16x = 1,739,935.19
  5. Step 5: Solve for x
    x = 1,739,935.19/1,456.16
  6. Step 6: Final answer
    x = 1,194.88

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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.