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Finding the Fourth Proportional to 3,147.39, 4,717.74 and 1,501.68

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Solution

The fourth proportional to 3,147.39, 4,717.74 and 1,501.68 is: 2,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.39 : 4,717.74 = 1,501.68 : x
  2. Step 2: Convert to fraction form
    3,147.39/4,717.74 = 1,501.68/x
  3. Step 3: Cross multiply
    3,147.39x = 4,717.74 × 1,501.68
  4. Step 4: Simplify right side
    3,147.39x = 7,084,535.80
  5. Step 5: Solve for x
    x = 7,084,535.80/3,147.39
  6. Step 6: Final answer
    x = 2,250.92

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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.