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Finding the Fourth Proportional to 3,132.16, 4,698.20 and 940.80

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Solution

The fourth proportional to 3,132.16, 4,698.20 and 940.80 is: 1,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.16 : 4,698.20 = 940.80 : x
  2. Step 2: Convert to fraction form
    3,132.16/4,698.20 = 940.80/x
  3. Step 3: Cross multiply
    3,132.16x = 4,698.20 × 940.80
  4. Step 4: Simplify right side
    3,132.16x = 4,420,066.56
  5. Step 5: Solve for x
    x = 4,420,066.56/3,132.16
  6. Step 6: Final answer
    x = 1,411.19

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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.