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Finding the Fourth Proportional to 1,659.71, 2,290.47 and 951.69

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Solution

The fourth proportional to 1,659.71, 2,290.47 and 951.69 is: 1,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.71 : 2,290.47 = 951.69 : x
  2. Step 2: Convert to fraction form
    1,659.71/2,290.47 = 951.69/x
  3. Step 3: Cross multiply
    1,659.71x = 2,290.47 × 951.69
  4. Step 4: Simplify right side
    1,659.71x = 2,179,822.41
  5. Step 5: Solve for x
    x = 2,179,822.41/1,659.71
  6. Step 6: Final answer
    x = 1,313.37

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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.