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Finding the Fourth Proportional to 2,159.92, 3,238.98 and 678.76

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Solution

The fourth proportional to 2,159.92, 3,238.98 and 678.76 is: 1,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.92 : 3,238.98 = 678.76 : x
  2. Step 2: Convert to fraction form
    2,159.92/3,238.98 = 678.76/x
  3. Step 3: Cross multiply
    2,159.92x = 3,238.98 × 678.76
  4. Step 4: Simplify right side
    2,159.92x = 2,198,490.06
  5. Step 5: Solve for x
    x = 2,198,490.06/2,159.92
  6. Step 6: Final answer
    x = 1,017.86

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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.