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Finding the Fourth Proportional to 2,714.65, 4,077.44 and 1,621.15

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Solution

The fourth proportional to 2,714.65, 4,077.44 and 1,621.15 is: 2,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.65 : 4,077.44 = 1,621.15 : x
  2. Step 2: Convert to fraction form
    2,714.65/4,077.44 = 1,621.15/x
  3. Step 3: Cross multiply
    2,714.65x = 4,077.44 × 1,621.15
  4. Step 4: Simplify right side
    2,714.65x = 6,610,141.86
  5. Step 5: Solve for x
    x = 6,610,141.86/2,714.65
  6. Step 6: Final answer
    x = 2,434.99

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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.