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Finding the Fourth Proportional to 2,764.02, 4,146.30 and 914.70

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Solution

The fourth proportional to 2,764.02, 4,146.30 and 914.70 is: 1,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.02 : 4,146.30 = 914.70 : x
  2. Step 2: Convert to fraction form
    2,764.02/4,146.30 = 914.70/x
  3. Step 3: Cross multiply
    2,764.02x = 4,146.30 × 914.70
  4. Step 4: Simplify right side
    2,764.02x = 3,792,620.61
  5. Step 5: Solve for x
    x = 3,792,620.61/2,764.02
  6. Step 6: Final answer
    x = 1,372.14

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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.