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Finding the Fourth Proportional to 2,714.46, 4,071.83 and 766.81

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Solution

The fourth proportional to 2,714.46, 4,071.83 and 766.81 is: 1,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.46 : 4,071.83 = 766.81 : x
  2. Step 2: Convert to fraction form
    2,714.46/4,071.83 = 766.81/x
  3. Step 3: Cross multiply
    2,714.46x = 4,071.83 × 766.81
  4. Step 4: Simplify right side
    2,714.46x = 3,122,319.96
  5. Step 5: Solve for x
    x = 3,122,319.96/2,714.46
  6. Step 6: Final answer
    x = 1,150.25

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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.