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Finding the Fourth Proportional to 2,701.20, 4,051.80 and 852.44

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Solution

The fourth proportional to 2,701.20, 4,051.80 and 852.44 is: 1,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.20 : 4,051.80 = 852.44 : x
  2. Step 2: Convert to fraction form
    2,701.20/4,051.80 = 852.44/x
  3. Step 3: Cross multiply
    2,701.20x = 4,051.80 × 852.44
  4. Step 4: Simplify right side
    2,701.20x = 3,453,916.39
  5. Step 5: Solve for x
    x = 3,453,916.39/2,701.20
  6. Step 6: Final answer
    x = 1,278.66

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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.