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Finding the Fourth Proportional to 2,714.06, 4,071.16 and 766.40

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Solution

The fourth proportional to 2,714.06, 4,071.16 and 766.40 is: 1,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.06 : 4,071.16 = 766.40 : x
  2. Step 2: Convert to fraction form
    2,714.06/4,071.16 = 766.40/x
  3. Step 3: Cross multiply
    2,714.06x = 4,071.16 × 766.40
  4. Step 4: Simplify right side
    2,714.06x = 3,120,137.02
  5. Step 5: Solve for x
    x = 3,120,137.02/2,714.06
  6. Step 6: Final answer
    x = 1,149.62

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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.