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Finding the Fourth Proportional to 2,702.03, 4,053.27 and 852.65

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Solution

The fourth proportional to 2,702.03, 4,053.27 and 852.65 is: 1,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.03 : 4,053.27 = 852.65 : x
  2. Step 2: Convert to fraction form
    2,702.03/4,053.27 = 852.65/x
  3. Step 3: Cross multiply
    2,702.03x = 4,053.27 × 852.65
  4. Step 4: Simplify right side
    2,702.03x = 3,456,018.80
  5. Step 5: Solve for x
    x = 3,456,018.80/2,702.03
  6. Step 6: Final answer
    x = 1,279.05

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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.