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Finding the Fourth Proportional to 2,356.42, 3,251.90 and 1,308.48

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Solution

The fourth proportional to 2,356.42, 3,251.90 and 1,308.48 is: 1,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.42 : 3,251.90 = 1,308.48 : x
  2. Step 2: Convert to fraction form
    2,356.42/3,251.90 = 1,308.48/x
  3. Step 3: Cross multiply
    2,356.42x = 3,251.90 × 1,308.48
  4. Step 4: Simplify right side
    2,356.42x = 4,255,046.11
  5. Step 5: Solve for x
    x = 4,255,046.11/2,356.42
  6. Step 6: Final answer
    x = 1,805.72

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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.