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Finding the Fourth Proportional to 2,984.82, 4,118.89 and 1,658.44

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Solution

The fourth proportional to 2,984.82, 4,118.89 and 1,658.44 is: 2,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.82 : 4,118.89 = 1,658.44 : x
  2. Step 2: Convert to fraction form
    2,984.82/4,118.89 = 1,658.44/x
  3. Step 3: Cross multiply
    2,984.82x = 4,118.89 × 1,658.44
  4. Step 4: Simplify right side
    2,984.82x = 6,830,931.93
  5. Step 5: Solve for x
    x = 6,830,931.93/2,984.82
  6. Step 6: Final answer
    x = 2,288.56

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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.