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Finding the Fourth Proportional to 2,984.94, 4,119.19 and 1,658.61

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Solution

The fourth proportional to 2,984.94, 4,119.19 and 1,658.61 is: 2,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.94 : 4,119.19 = 1,658.61 : x
  2. Step 2: Convert to fraction form
    2,984.94/4,119.19 = 1,658.61/x
  3. Step 3: Cross multiply
    2,984.94x = 4,119.19 × 1,658.61
  4. Step 4: Simplify right side
    2,984.94x = 6,832,125.58
  5. Step 5: Solve for x
    x = 6,832,125.58/2,984.94
  6. Step 6: Final answer
    x = 2,288.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.