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Finding the Fourth Proportional to 2,923.62, 4,034.30 and 1,597.31

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Solution

The fourth proportional to 2,923.62, 4,034.30 and 1,597.31 is: 2,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.62 : 4,034.30 = 1,597.31 : x
  2. Step 2: Convert to fraction form
    2,923.62/4,034.30 = 1,597.31/x
  3. Step 3: Cross multiply
    2,923.62x = 4,034.30 × 1,597.31
  4. Step 4: Simplify right side
    2,923.62x = 6,444,027.73
  5. Step 5: Solve for x
    x = 6,444,027.73/2,923.62
  6. Step 6: Final answer
    x = 2,204.13

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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.