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Finding the Fourth Proportional to 3,047.97, 4,572.19 and 968.09

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Solution

The fourth proportional to 3,047.97, 4,572.19 and 968.09 is: 1,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.97 : 4,572.19 = 968.09 : x
  2. Step 2: Convert to fraction form
    3,047.97/4,572.19 = 968.09/x
  3. Step 3: Cross multiply
    3,047.97x = 4,572.19 × 968.09
  4. Step 4: Simplify right side
    3,047.97x = 4,426,291.42
  5. Step 5: Solve for x
    x = 4,426,291.42/3,047.97
  6. Step 6: Final answer
    x = 1,452.21

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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.