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Finding the Fourth Proportional to 1,365.31, 2,047.15 and 979.75

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Solution

The fourth proportional to 1,365.31, 2,047.15 and 979.75 is: 1,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.31 : 2,047.15 = 979.75 : x
  2. Step 2: Convert to fraction form
    1,365.31/2,047.15 = 979.75/x
  3. Step 3: Cross multiply
    1,365.31x = 2,047.15 × 979.75
  4. Step 4: Simplify right side
    1,365.31x = 2,005,695.21
  5. Step 5: Solve for x
    x = 2,005,695.21/1,365.31
  6. Step 6: Final answer
    x = 1,469.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.