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Finding the Fourth Proportional to 2,357.62, 3,253.41 and 1,295.38

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Solution

The fourth proportional to 2,357.62, 3,253.41 and 1,295.38 is: 1,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.62 : 3,253.41 = 1,295.38 : x
  2. Step 2: Convert to fraction form
    2,357.62/3,253.41 = 1,295.38/x
  3. Step 3: Cross multiply
    2,357.62x = 3,253.41 × 1,295.38
  4. Step 4: Simplify right side
    2,357.62x = 4,214,402.25
  5. Step 5: Solve for x
    x = 4,214,402.25/2,357.62
  6. Step 6: Final answer
    x = 1,787.57

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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.