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Finding the Fourth Proportional to 2,112.76, 2,914.92 and 1,228.84

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Solution

The fourth proportional to 2,112.76, 2,914.92 and 1,228.84 is: 1,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.76 : 2,914.92 = 1,228.84 : x
  2. Step 2: Convert to fraction form
    2,112.76/2,914.92 = 1,228.84/x
  3. Step 3: Cross multiply
    2,112.76x = 2,914.92 × 1,228.84
  4. Step 4: Simplify right side
    2,112.76x = 3,581,970.29
  5. Step 5: Solve for x
    x = 3,581,970.29/2,112.76
  6. Step 6: Final answer
    x = 1,695.40

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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.