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Finding the Fourth Proportional to 3,105.68, 4,285.68 and 1,708.16

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Solution

The fourth proportional to 3,105.68, 4,285.68 and 1,708.16 is: 2,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.68 : 4,285.68 = 1,708.16 : x
  2. Step 2: Convert to fraction form
    3,105.68/4,285.68 = 1,708.16/x
  3. Step 3: Cross multiply
    3,105.68x = 4,285.68 × 1,708.16
  4. Step 4: Simplify right side
    3,105.68x = 7,320,627.15
  5. Step 5: Solve for x
    x = 7,320,627.15/3,105.68
  6. Step 6: Final answer
    x = 2,357.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.