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Finding the Fourth Proportional to 1,847.78, 2,769.96 and 970.10

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Solution

The fourth proportional to 1,847.78, 2,769.96 and 970.10 is: 1,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.78 : 2,769.96 = 970.10 : x
  2. Step 2: Convert to fraction form
    1,847.78/2,769.96 = 970.10/x
  3. Step 3: Cross multiply
    1,847.78x = 2,769.96 × 970.10
  4. Step 4: Simplify right side
    1,847.78x = 2,687,138.20
  5. Step 5: Solve for x
    x = 2,687,138.20/1,847.78
  6. Step 6: Final answer
    x = 1,454.25

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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.