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Finding the Fourth Proportional to 1,456.78, 2,008.76 and 1,268.59

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Solution

The fourth proportional to 1,456.78, 2,008.76 and 1,268.59 is: 1,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.78 : 2,008.76 = 1,268.59 : x
  2. Step 2: Convert to fraction form
    1,456.78/2,008.76 = 1,268.59/x
  3. Step 3: Cross multiply
    1,456.78x = 2,008.76 × 1,268.59
  4. Step 4: Simplify right side
    1,456.78x = 2,548,292.85
  5. Step 5: Solve for x
    x = 2,548,292.85/1,456.78
  6. Step 6: Final answer
    x = 1,749.26

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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.