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Finding the Fourth Proportional to 2,357.67, 3,253.67 and 1,295.54

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Solution

The fourth proportional to 2,357.67, 3,253.67 and 1,295.54 is: 1,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.67 : 3,253.67 = 1,295.54 : x
  2. Step 2: Convert to fraction form
    2,357.67/3,253.67 = 1,295.54/x
  3. Step 3: Cross multiply
    2,357.67x = 3,253.67 × 1,295.54
  4. Step 4: Simplify right side
    2,357.67x = 4,215,272.25
  5. Step 5: Solve for x
    x = 4,215,272.25/2,357.67
  6. Step 6: Final answer
    x = 1,787.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.