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Finding the Fourth Proportional to 1,363.80, 1,884.06 and 1,260.12

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Solution

The fourth proportional to 1,363.80, 1,884.06 and 1,260.12 is: 1,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.80 : 1,884.06 = 1,260.12 : x
  2. Step 2: Convert to fraction form
    1,363.80/1,884.06 = 1,260.12/x
  3. Step 3: Cross multiply
    1,363.80x = 1,884.06 × 1,260.12
  4. Step 4: Simplify right side
    1,363.80x = 2,374,141.69
  5. Step 5: Solve for x
    x = 2,374,141.69/1,363.80
  6. Step 6: Final answer
    x = 1,740.83

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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.