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Finding the Fourth Proportional to 2,178.63, 3,006.38 and 1,234.58

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Solution

The fourth proportional to 2,178.63, 3,006.38 and 1,234.58 is: 1,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.63 : 3,006.38 = 1,234.58 : x
  2. Step 2: Convert to fraction form
    2,178.63/3,006.38 = 1,234.58/x
  3. Step 3: Cross multiply
    2,178.63x = 3,006.38 × 1,234.58
  4. Step 4: Simplify right side
    2,178.63x = 3,711,604.67
  5. Step 5: Solve for x
    x = 3,711,604.67/2,178.63
  6. Step 6: Final answer
    x = 1,703.64

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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.