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Finding the Fourth Proportional to 2,118.75, 3,178.16 and 657.81

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Solution

The fourth proportional to 2,118.75, 3,178.16 and 657.81 is: 986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.75 : 3,178.16 = 657.81 : x
  2. Step 2: Convert to fraction form
    2,118.75/3,178.16 = 657.81/x
  3. Step 3: Cross multiply
    2,118.75x = 3,178.16 × 657.81
  4. Step 4: Simplify right side
    2,118.75x = 2,090,633.38
  5. Step 5: Solve for x
    x = 2,090,633.38/2,118.75
  6. Step 6: Final answer
    x = 986.73

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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.