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Finding the Fourth Proportional to 2,714.90, 4,080.45 and 2,666.30

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Solution

The fourth proportional to 2,714.90, 4,080.45 and 2,666.30 is: 4,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.90 : 4,080.45 = 2,666.30 : x
  2. Step 2: Convert to fraction form
    2,714.90/4,080.45 = 2,666.30/x
  3. Step 3: Cross multiply
    2,714.90x = 4,080.45 × 2,666.30
  4. Step 4: Simplify right side
    2,714.90x = 10,879,703.84
  5. Step 5: Solve for x
    x = 10,879,703.84/2,714.90
  6. Step 6: Final answer
    x = 4,007.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.