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Finding the Fourth Proportional to 1,298.82, 1,793.90 and 1,034.16

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Solution

The fourth proportional to 1,298.82, 1,793.90 and 1,034.16 is: 1,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.82 : 1,793.90 = 1,034.16 : x
  2. Step 2: Convert to fraction form
    1,298.82/1,793.90 = 1,034.16/x
  3. Step 3: Cross multiply
    1,298.82x = 1,793.90 × 1,034.16
  4. Step 4: Simplify right side
    1,298.82x = 1,855,179.62
  5. Step 5: Solve for x
    x = 1,855,179.62/1,298.82
  6. Step 6: Final answer
    x = 1,428.36

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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.