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Finding the Fourth Proportional to 2,178.30, 3,006.06 and 1,680

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Solution

The fourth proportional to 2,178.30, 3,006.06 and 1,680 is: 2,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.30 : 3,006.06 = 1,680 : x
  2. Step 2: Convert to fraction form
    2,178.30/3,006.06 = 1,680/x
  3. Step 3: Cross multiply
    2,178.30x = 3,006.06 × 1,680
  4. Step 4: Simplify right side
    2,178.30x = 5,050,180.80
  5. Step 5: Solve for x
    x = 5,050,180.80/2,178.30
  6. Step 6: Final answer
    x = 2,318.40

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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.