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Finding the Fourth Proportional to 3,055, 4,215.92 and 1,657.76

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Solution

The fourth proportional to 3,055, 4,215.92 and 1,657.76 is: 2,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055 : 4,215.92 = 1,657.76 : x
  2. Step 2: Convert to fraction form
    3,055/4,215.92 = 1,657.76/x
  3. Step 3: Cross multiply
    3,055x = 4,215.92 × 1,657.76
  4. Step 4: Simplify right side
    3,055x = 6,988,983.54
  5. Step 5: Solve for x
    x = 6,988,983.54/3,055
  6. Step 6: Final answer
    x = 2,287.72

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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.