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Finding the Fourth Proportional to 3,169.74, 4,751.51 and 1,322.13

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Solution

The fourth proportional to 3,169.74, 4,751.51 and 1,322.13 is: 1,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.74 : 4,751.51 = 1,322.13 : x
  2. Step 2: Convert to fraction form
    3,169.74/4,751.51 = 1,322.13/x
  3. Step 3: Cross multiply
    3,169.74x = 4,751.51 × 1,322.13
  4. Step 4: Simplify right side
    3,169.74x = 6,282,107.31
  5. Step 5: Solve for x
    x = 6,282,107.31/3,169.74
  6. Step 6: Final answer
    x = 1,981.90

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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.