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Finding the Fourth Proportional to 2,159.08, 3,238.92 and 697.76

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Solution

The fourth proportional to 2,159.08, 3,238.92 and 697.76 is: 1,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.08 : 3,238.92 = 697.76 : x
  2. Step 2: Convert to fraction form
    2,159.08/3,238.92 = 697.76/x
  3. Step 3: Cross multiply
    2,159.08x = 3,238.92 × 697.76
  4. Step 4: Simplify right side
    2,159.08x = 2,259,988.82
  5. Step 5: Solve for x
    x = 2,259,988.82/2,159.08
  6. Step 6: Final answer
    x = 1,046.74

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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.