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Finding the Fourth Proportional to 1,779.98, 2,456.92 and 1,034.14

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Solution

The fourth proportional to 1,779.98, 2,456.92 and 1,034.14 is: 1,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.98 : 2,456.92 = 1,034.14 : x
  2. Step 2: Convert to fraction form
    1,779.98/2,456.92 = 1,034.14/x
  3. Step 3: Cross multiply
    1,779.98x = 2,456.92 × 1,034.14
  4. Step 4: Simplify right side
    1,779.98x = 2,540,799.25
  5. Step 5: Solve for x
    x = 2,540,799.25/1,779.98
  6. Step 6: Final answer
    x = 1,427.43

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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.