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Finding the Fourth Proportional to 2,118.75, 3,178.56 and 657.84

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Solution

The fourth proportional to 2,118.75, 3,178.56 and 657.84 is: 986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.75 : 3,178.56 = 657.84 : x
  2. Step 2: Convert to fraction form
    2,118.75/3,178.56 = 657.84/x
  3. Step 3: Cross multiply
    2,118.75x = 3,178.56 × 657.84
  4. Step 4: Simplify right side
    2,118.75x = 2,090,983.91
  5. Step 5: Solve for x
    x = 2,090,983.91/2,118.75
  6. Step 6: Final answer
    x = 986.90

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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.