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Finding the Fourth Proportional to 2,914.74, 4,370.99 and 966.42

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Solution

The fourth proportional to 2,914.74, 4,370.99 and 966.42 is: 1,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.74 : 4,370.99 = 966.42 : x
  2. Step 2: Convert to fraction form
    2,914.74/4,370.99 = 966.42/x
  3. Step 3: Cross multiply
    2,914.74x = 4,370.99 × 966.42
  4. Step 4: Simplify right side
    2,914.74x = 4,224,207.32
  5. Step 5: Solve for x
    x = 4,224,207.32/2,914.74
  6. Step 6: Final answer
    x = 1,449.26

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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.