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Finding the Fourth Proportional to 2,133.76, 3,200.63 and 747.10

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Solution

The fourth proportional to 2,133.76, 3,200.63 and 747.10 is: 1,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.76 : 3,200.63 = 747.10 : x
  2. Step 2: Convert to fraction form
    2,133.76/3,200.63 = 747.10/x
  3. Step 3: Cross multiply
    2,133.76x = 3,200.63 × 747.10
  4. Step 4: Simplify right side
    2,133.76x = 2,391,190.67
  5. Step 5: Solve for x
    x = 2,391,190.67/2,133.76
  6. Step 6: Final answer
    x = 1,120.65

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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.