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Finding the Fourth Proportional to 2,969.25, 4,452.36 and 994.17

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Solution

The fourth proportional to 2,969.25, 4,452.36 and 994.17 is: 1,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.25 : 4,452.36 = 994.17 : x
  2. Step 2: Convert to fraction form
    2,969.25/4,452.36 = 994.17/x
  3. Step 3: Cross multiply
    2,969.25x = 4,452.36 × 994.17
  4. Step 4: Simplify right side
    2,969.25x = 4,426,402.74
  5. Step 5: Solve for x
    x = 4,426,402.74/2,969.25
  6. Step 6: Final answer
    x = 1,490.75

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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.