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Finding the Fourth Proportional to 1,363.82, 1,882.62 and 1,032.34

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Solution

The fourth proportional to 1,363.82, 1,882.62 and 1,032.34 is: 1,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.82 : 1,882.62 = 1,032.34 : x
  2. Step 2: Convert to fraction form
    1,363.82/1,882.62 = 1,032.34/x
  3. Step 3: Cross multiply
    1,363.82x = 1,882.62 × 1,032.34
  4. Step 4: Simplify right side
    1,363.82x = 1,943,503.93
  5. Step 5: Solve for x
    x = 1,943,503.93/1,363.82
  6. Step 6: Final answer
    x = 1,425.04

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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.