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Finding the Fourth Proportional to 1,296.56, 1,932.35 and 1,294.52

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Solution

The fourth proportional to 1,296.56, 1,932.35 and 1,294.52 is: 1,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.56 : 1,932.35 = 1,294.52 : x
  2. Step 2: Convert to fraction form
    1,296.56/1,932.35 = 1,294.52/x
  3. Step 3: Cross multiply
    1,296.56x = 1,932.35 × 1,294.52
  4. Step 4: Simplify right side
    1,296.56x = 2,501,449.59
  5. Step 5: Solve for x
    x = 2,501,449.59/1,296.56
  6. Step 6: Final answer
    x = 1,929.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.