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Finding the Fourth Proportional to 2,118.02, 3,176.67 and 579.02

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Solution

The fourth proportional to 2,118.02, 3,176.67 and 579.02 is: 868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.02 : 3,176.67 = 579.02 : x
  2. Step 2: Convert to fraction form
    2,118.02/3,176.67 = 579.02/x
  3. Step 3: Cross multiply
    2,118.02x = 3,176.67 × 579.02
  4. Step 4: Simplify right side
    2,118.02x = 1,839,355.46
  5. Step 5: Solve for x
    x = 1,839,355.46/2,118.02
  6. Step 6: Final answer
    x = 868.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.