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Finding the Fourth Proportional to 2,063.84, 2,848.11 and 1,179.86

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Solution

The fourth proportional to 2,063.84, 2,848.11 and 1,179.86 is: 1,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.84 : 2,848.11 = 1,179.86 : x
  2. Step 2: Convert to fraction form
    2,063.84/2,848.11 = 1,179.86/x
  3. Step 3: Cross multiply
    2,063.84x = 2,848.11 × 1,179.86
  4. Step 4: Simplify right side
    2,063.84x = 3,360,371.06
  5. Step 5: Solve for x
    x = 3,360,371.06/2,063.84
  6. Step 6: Final answer
    x = 1,628.21

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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.