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Finding the Fourth Proportional to 2,360.96, 3,257.87 and 1,366.55

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Solution

The fourth proportional to 2,360.96, 3,257.87 and 1,366.55 is: 1,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.96 : 3,257.87 = 1,366.55 : x
  2. Step 2: Convert to fraction form
    2,360.96/3,257.87 = 1,366.55/x
  3. Step 3: Cross multiply
    2,360.96x = 3,257.87 × 1,366.55
  4. Step 4: Simplify right side
    2,360.96x = 4,452,029.38
  5. Step 5: Solve for x
    x = 4,452,029.38/2,360.96
  6. Step 6: Final answer
    x = 1,885.69

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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.