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Finding the Fourth Proportional to 2,079.61, 3,119.99 and 909.71

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Solution

The fourth proportional to 2,079.61, 3,119.99 and 909.71 is: 1,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.61 : 3,119.99 = 909.71 : x
  2. Step 2: Convert to fraction form
    2,079.61/3,119.99 = 909.71/x
  3. Step 3: Cross multiply
    2,079.61x = 3,119.99 × 909.71
  4. Step 4: Simplify right side
    2,079.61x = 2,838,288.38
  5. Step 5: Solve for x
    x = 2,838,288.38/2,079.61
  6. Step 6: Final answer
    x = 1,364.82

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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.