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Finding the Fourth Proportional to 2,251.06, 3,106.54 and 1,306.78

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Solution

The fourth proportional to 2,251.06, 3,106.54 and 1,306.78 is: 1,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.06 : 3,106.54 = 1,306.78 : x
  2. Step 2: Convert to fraction form
    2,251.06/3,106.54 = 1,306.78/x
  3. Step 3: Cross multiply
    2,251.06x = 3,106.54 × 1,306.78
  4. Step 4: Simplify right side
    2,251.06x = 4,059,564.34
  5. Step 5: Solve for x
    x = 4,059,564.34/2,251.06
  6. Step 6: Final answer
    x = 1,803.40

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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.