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Finding the Fourth Proportional to 1,681.74, 2,321.46 and 1,159.56

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Solution

The fourth proportional to 1,681.74, 2,321.46 and 1,159.56 is: 1,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.74 : 2,321.46 = 1,159.56 : x
  2. Step 2: Convert to fraction form
    1,681.74/2,321.46 = 1,159.56/x
  3. Step 3: Cross multiply
    1,681.74x = 2,321.46 × 1,159.56
  4. Step 4: Simplify right side
    1,681.74x = 2,691,872.16
  5. Step 5: Solve for x
    x = 2,691,872.16/1,681.74
  6. Step 6: Final answer
    x = 1,600.65

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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.