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Finding the Fourth Proportional to 3,160.62, 4,741.38 and 1,516.86

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Solution

The fourth proportional to 3,160.62, 4,741.38 and 1,516.86 is: 2,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.62 : 4,741.38 = 1,516.86 : x
  2. Step 2: Convert to fraction form
    3,160.62/4,741.38 = 1,516.86/x
  3. Step 3: Cross multiply
    3,160.62x = 4,741.38 × 1,516.86
  4. Step 4: Simplify right side
    3,160.62x = 7,192,009.67
  5. Step 5: Solve for x
    x = 7,192,009.67/3,160.62
  6. Step 6: Final answer
    x = 2,275.51

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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.