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Finding the Fourth Proportional to 2,972.80, 4,102.08 and 2,187.20

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Solution

The fourth proportional to 2,972.80, 4,102.08 and 2,187.20 is: 3,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.80 : 4,102.08 = 2,187.20 : x
  2. Step 2: Convert to fraction form
    2,972.80/4,102.08 = 2,187.20/x
  3. Step 3: Cross multiply
    2,972.80x = 4,102.08 × 2,187.20
  4. Step 4: Simplify right side
    2,972.80x = 8,972,069.38
  5. Step 5: Solve for x
    x = 8,972,069.38/2,972.80
  6. Step 6: Final answer
    x = 3,018.05

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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.