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Finding the Fourth Proportional to 2,354.62, 3,532.74 and 711.55

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Solution

The fourth proportional to 2,354.62, 3,532.74 and 711.55 is: 1,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.62 : 3,532.74 = 711.55 : x
  2. Step 2: Convert to fraction form
    2,354.62/3,532.74 = 711.55/x
  3. Step 3: Cross multiply
    2,354.62x = 3,532.74 × 711.55
  4. Step 4: Simplify right side
    2,354.62x = 2,513,721.15
  5. Step 5: Solve for x
    x = 2,513,721.15/2,354.62
  6. Step 6: Final answer
    x = 1,067.57

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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.