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Finding the Fourth Proportional to 2,714.60, 4,070.67 and 865.37

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Solution

The fourth proportional to 2,714.60, 4,070.67 and 865.37 is: 1,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.60 : 4,070.67 = 865.37 : x
  2. Step 2: Convert to fraction form
    2,714.60/4,070.67 = 865.37/x
  3. Step 3: Cross multiply
    2,714.60x = 4,070.67 × 865.37
  4. Step 4: Simplify right side
    2,714.60x = 3,522,615.34
  5. Step 5: Solve for x
    x = 3,522,615.34/2,714.60
  6. Step 6: Final answer
    x = 1,297.66

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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.