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Finding the Fourth Proportional to 1,659.52, 2,290.20 and 960.90

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Solution

The fourth proportional to 1,659.52, 2,290.20 and 960.90 is: 1,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.52 : 2,290.20 = 960.90 : x
  2. Step 2: Convert to fraction form
    1,659.52/2,290.20 = 960.90/x
  3. Step 3: Cross multiply
    1,659.52x = 2,290.20 × 960.90
  4. Step 4: Simplify right side
    1,659.52x = 2,200,653.18
  5. Step 5: Solve for x
    x = 2,200,653.18/1,659.52
  6. Step 6: Final answer
    x = 1,326.08

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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.