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Finding the Fourth Proportional to 2,984.38, 4,118.68 and 1,658.21

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Solution

The fourth proportional to 2,984.38, 4,118.68 and 1,658.21 is: 2,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.38 : 4,118.68 = 1,658.21 : x
  2. Step 2: Convert to fraction form
    2,984.38/4,118.68 = 1,658.21/x
  3. Step 3: Cross multiply
    2,984.38x = 4,118.68 × 1,658.21
  4. Step 4: Simplify right side
    2,984.38x = 6,829,617.84
  5. Step 5: Solve for x
    x = 6,829,617.84/2,984.38
  6. Step 6: Final answer
    x = 2,288.46

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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.