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Finding the Fourth Proportional to 2,701.84, 4,052.76 and 969.52

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Solution

The fourth proportional to 2,701.84, 4,052.76 and 969.52 is: 1,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.84 : 4,052.76 = 969.52 : x
  2. Step 2: Convert to fraction form
    2,701.84/4,052.76 = 969.52/x
  3. Step 3: Cross multiply
    2,701.84x = 4,052.76 × 969.52
  4. Step 4: Simplify right side
    2,701.84x = 3,929,231.88
  5. Step 5: Solve for x
    x = 3,929,231.88/2,701.84
  6. Step 6: Final answer
    x = 1,454.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.