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Finding the Fourth Proportional to 2,351.72, 3,528.04 and 708.19

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Solution

The fourth proportional to 2,351.72, 3,528.04 and 708.19 is: 1,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.72 : 3,528.04 = 708.19 : x
  2. Step 2: Convert to fraction form
    2,351.72/3,528.04 = 708.19/x
  3. Step 3: Cross multiply
    2,351.72x = 3,528.04 × 708.19
  4. Step 4: Simplify right side
    2,351.72x = 2,498,522.65
  5. Step 5: Solve for x
    x = 2,498,522.65/2,351.72
  6. Step 6: Final answer
    x = 1,062.42

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1.5x scale

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.