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Finding the Fourth Proportional to 2,356.16, 3,532.90 and 712.24

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Solution

The fourth proportional to 2,356.16, 3,532.90 and 712.24 is: 1,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.16 : 3,532.90 = 712.24 : x
  2. Step 2: Convert to fraction form
    2,356.16/3,532.90 = 712.24/x
  3. Step 3: Cross multiply
    2,356.16x = 3,532.90 × 712.24
  4. Step 4: Simplify right side
    2,356.16x = 2,516,272.70
  5. Step 5: Solve for x
    x = 2,516,272.70/2,356.16
  6. Step 6: Final answer
    x = 1,067.95

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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.