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Finding the Fourth Proportional to 2,132.70, 3,190.95 and 1,403.70

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Solution

The fourth proportional to 2,132.70, 3,190.95 and 1,403.70 is: 2,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.70 : 3,190.95 = 1,403.70 : x
  2. Step 2: Convert to fraction form
    2,132.70/3,190.95 = 1,403.70/x
  3. Step 3: Cross multiply
    2,132.70x = 3,190.95 × 1,403.70
  4. Step 4: Simplify right side
    2,132.70x = 4,479,136.52
  5. Step 5: Solve for x
    x = 4,479,136.52/2,132.70
  6. Step 6: Final answer
    x = 2,100.22

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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.