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Finding the Fourth Proportional to 1,913.92, 2,870.89 and 759.67

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Solution

The fourth proportional to 1,913.92, 2,870.89 and 759.67 is: 1,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.92 : 2,870.89 = 759.67 : x
  2. Step 2: Convert to fraction form
    1,913.92/2,870.89 = 759.67/x
  3. Step 3: Cross multiply
    1,913.92x = 2,870.89 × 759.67
  4. Step 4: Simplify right side
    1,913.92x = 2,180,919.93
  5. Step 5: Solve for x
    x = 2,180,919.93/1,913.92
  6. Step 6: Final answer
    x = 1,139.51

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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.