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Finding the Fourth Proportional to 2,118.74, 3,178.43 and 658.01

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Solution

The fourth proportional to 2,118.74, 3,178.43 and 658.01 is: 987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.74 : 3,178.43 = 658.01 : x
  2. Step 2: Convert to fraction form
    2,118.74/3,178.43 = 658.01/x
  3. Step 3: Cross multiply
    2,118.74x = 3,178.43 × 658.01
  4. Step 4: Simplify right side
    2,118.74x = 2,091,419.54
  5. Step 5: Solve for x
    x = 2,091,419.54/2,118.74
  6. Step 6: Final answer
    x = 987.11

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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.