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Finding the Fourth Proportional to 1,921.57, 2,655.25 and 1,659.13

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Solution

The fourth proportional to 1,921.57, 2,655.25 and 1,659.13 is: 2,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.57 : 2,655.25 = 1,659.13 : x
  2. Step 2: Convert to fraction form
    1,921.57/2,655.25 = 1,659.13/x
  3. Step 3: Cross multiply
    1,921.57x = 2,655.25 × 1,659.13
  4. Step 4: Simplify right side
    1,921.57x = 4,405,394.15
  5. Step 5: Solve for x
    x = 4,405,394.15/1,921.57
  6. Step 6: Final answer
    x = 2,292.60

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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.