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Finding the Fourth Proportional to 2,169.23, 3,253.48 and 708.02

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Solution

The fourth proportional to 2,169.23, 3,253.48 and 708.02 is: 1,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.23 : 3,253.48 = 708.02 : x
  2. Step 2: Convert to fraction form
    2,169.23/3,253.48 = 708.02/x
  3. Step 3: Cross multiply
    2,169.23x = 3,253.48 × 708.02
  4. Step 4: Simplify right side
    2,169.23x = 2,303,510.87
  5. Step 5: Solve for x
    x = 2,303,510.87/2,169.23
  6. Step 6: Final answer
    x = 1,061.90

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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.