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Finding the Fourth Proportional to 2,714.02, 4,070.52 and 766.21

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Solution

The fourth proportional to 2,714.02, 4,070.52 and 766.21 is: 1,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.02 : 4,070.52 = 766.21 : x
  2. Step 2: Convert to fraction form
    2,714.02/4,070.52 = 766.21/x
  3. Step 3: Cross multiply
    2,714.02x = 4,070.52 × 766.21
  4. Step 4: Simplify right side
    2,714.02x = 3,118,873.13
  5. Step 5: Solve for x
    x = 3,118,873.13/2,714.02
  6. Step 6: Final answer
    x = 1,149.17

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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.