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Finding the Fourth Proportional to 2,659.52, 3,989.28 and 711.67

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Solution

The fourth proportional to 2,659.52, 3,989.28 and 711.67 is: 1,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.52 : 3,989.28 = 711.67 : x
  2. Step 2: Convert to fraction form
    2,659.52/3,989.28 = 711.67/x
  3. Step 3: Cross multiply
    2,659.52x = 3,989.28 × 711.67
  4. Step 4: Simplify right side
    2,659.52x = 2,839,047.34
  5. Step 5: Solve for x
    x = 2,839,047.34/2,659.52
  6. Step 6: Final answer
    x = 1,067.50

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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.