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Finding the Fourth Proportional to 2,613.34, 3,591.07 and 2,088.46

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Solution

The fourth proportional to 2,613.34, 3,591.07 and 2,088.46 is: 2,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.34 : 3,591.07 = 2,088.46 : x
  2. Step 2: Convert to fraction form
    2,613.34/3,591.07 = 2,088.46/x
  3. Step 3: Cross multiply
    2,613.34x = 3,591.07 × 2,088.46
  4. Step 4: Simplify right side
    2,613.34x = 7,499,806.05
  5. Step 5: Solve for x
    x = 7,499,806.05/2,613.34
  6. Step 6: Final answer
    x = 2,869.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.