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Finding the Fourth Proportional to 1,311.70, 1,967.55 and 1,275.70

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Solution

The fourth proportional to 1,311.70, 1,967.55 and 1,275.70 is: 1,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.70 : 1,967.55 = 1,275.70 : x
  2. Step 2: Convert to fraction form
    1,311.70/1,967.55 = 1,275.70/x
  3. Step 3: Cross multiply
    1,311.70x = 1,967.55 × 1,275.70
  4. Step 4: Simplify right side
    1,311.70x = 2,510,003.54
  5. Step 5: Solve for x
    x = 2,510,003.54/1,311.70
  6. Step 6: Final answer
    x = 1,913.55

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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.