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Finding the Fourth Proportional to 2,714.26, 4,064.48 and 2,464.64

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Solution

The fourth proportional to 2,714.26, 4,064.48 and 2,464.64 is: 3,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.26 : 4,064.48 = 2,464.64 : x
  2. Step 2: Convert to fraction form
    2,714.26/4,064.48 = 2,464.64/x
  3. Step 3: Cross multiply
    2,714.26x = 4,064.48 × 2,464.64
  4. Step 4: Simplify right side
    2,714.26x = 10,017,479.99
  5. Step 5: Solve for x
    x = 10,017,479.99/2,714.26
  6. Step 6: Final answer
    x = 3,690.69

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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.