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Finding the Fourth Proportional to 2,596.26, 3,901.86 and 2,160.18

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Solution

The fourth proportional to 2,596.26, 3,901.86 and 2,160.18 is: 3,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.26 : 3,901.86 = 2,160.18 : x
  2. Step 2: Convert to fraction form
    2,596.26/3,901.86 = 2,160.18/x
  3. Step 3: Cross multiply
    2,596.26x = 3,901.86 × 2,160.18
  4. Step 4: Simplify right side
    2,596.26x = 8,428,719.93
  5. Step 5: Solve for x
    x = 8,428,719.93/2,596.26
  6. Step 6: Final answer
    x = 3,246.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.