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Finding the Fourth Proportional to 1,659.52, 2,491.26 and 1,313.56

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Solution

The fourth proportional to 1,659.52, 2,491.26 and 1,313.56 is: 1,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.52 : 2,491.26 = 1,313.56 : x
  2. Step 2: Convert to fraction form
    1,659.52/2,491.26 = 1,313.56/x
  3. Step 3: Cross multiply
    1,659.52x = 2,491.26 × 1,313.56
  4. Step 4: Simplify right side
    1,659.52x = 3,272,419.49
  5. Step 5: Solve for x
    x = 3,272,419.49/1,659.52
  6. Step 6: Final answer
    x = 1,971.91

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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.