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Finding the Fourth Proportional to 2,314.86, 3,197.24 and 1,567.52

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Solution

The fourth proportional to 2,314.86, 3,197.24 and 1,567.52 is: 2,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.86 : 3,197.24 = 1,567.52 : x
  2. Step 2: Convert to fraction form
    2,314.86/3,197.24 = 1,567.52/x
  3. Step 3: Cross multiply
    2,314.86x = 3,197.24 × 1,567.52
  4. Step 4: Simplify right side
    2,314.86x = 5,011,713.82
  5. Step 5: Solve for x
    x = 5,011,713.82/2,314.86
  6. Step 6: Final answer
    x = 2,165.02

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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.