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Finding the Fourth Proportional to 2,714.30, 4,059.30 and 2,276.90

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Solution

The fourth proportional to 2,714.30, 4,059.30 and 2,276.90 is: 3,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.30 : 4,059.30 = 2,276.90 : x
  2. Step 2: Convert to fraction form
    2,714.30/4,059.30 = 2,276.90/x
  3. Step 3: Cross multiply
    2,714.30x = 4,059.30 × 2,276.90
  4. Step 4: Simplify right side
    2,714.30x = 9,242,620.17
  5. Step 5: Solve for x
    x = 9,242,620.17/2,714.30
  6. Step 6: Final answer
    x = 3,405.16

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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.