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Finding the Fourth Proportional to 2,357.62, 3,253.71 and 1,309.75

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Solution

The fourth proportional to 2,357.62, 3,253.71 and 1,309.75 is: 1,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.62 : 3,253.71 = 1,309.75 : x
  2. Step 2: Convert to fraction form
    2,357.62/3,253.71 = 1,309.75/x
  3. Step 3: Cross multiply
    2,357.62x = 3,253.71 × 1,309.75
  4. Step 4: Simplify right side
    2,357.62x = 4,261,546.67
  5. Step 5: Solve for x
    x = 4,261,546.67/2,357.62
  6. Step 6: Final answer
    x = 1,807.56

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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.