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Finding the Fourth Proportional to 3,397.12, 5,097.12 and 1,448.80

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Solution

The fourth proportional to 3,397.12, 5,097.12 and 1,448.80 is: 2,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.12 : 5,097.12 = 1,448.80 : x
  2. Step 2: Convert to fraction form
    3,397.12/5,097.12 = 1,448.80/x
  3. Step 3: Cross multiply
    3,397.12x = 5,097.12 × 1,448.80
  4. Step 4: Simplify right side
    3,397.12x = 7,384,707.46
  5. Step 5: Solve for x
    x = 7,384,707.46/3,397.12
  6. Step 6: Final answer
    x = 2,173.81

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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.