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Finding the Fourth Proportional to 2,711.04, 4,066.54 and 659.04

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Solution

The fourth proportional to 2,711.04, 4,066.54 and 659.04 is: 988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.04 : 4,066.54 = 659.04 : x
  2. Step 2: Convert to fraction form
    2,711.04/4,066.54 = 659.04/x
  3. Step 3: Cross multiply
    2,711.04x = 4,066.54 × 659.04
  4. Step 4: Simplify right side
    2,711.04x = 2,680,012.52
  5. Step 5: Solve for x
    x = 2,680,012.52/2,711.04
  6. Step 6: Final answer
    x = 988.56

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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.