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Finding the Fourth Proportional to 2,701.12, 4,051.85 and 852.30

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Solution

The fourth proportional to 2,701.12, 4,051.85 and 852.30 is: 1,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.12 : 4,051.85 = 852.30 : x
  2. Step 2: Convert to fraction form
    2,701.12/4,051.85 = 852.30/x
  3. Step 3: Cross multiply
    2,701.12x = 4,051.85 × 852.30
  4. Step 4: Simplify right side
    2,701.12x = 3,453,367.23
  5. Step 5: Solve for x
    x = 3,453,367.23/2,701.12
  6. Step 6: Final answer
    x = 1,278.49

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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.