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Finding the Fourth Proportional to 2,893.42, 4,310.24 and 2,714.14

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Solution

The fourth proportional to 2,893.42, 4,310.24 and 2,714.14 is: 4,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.42 : 4,310.24 = 2,714.14 : x
  2. Step 2: Convert to fraction form
    2,893.42/4,310.24 = 2,714.14/x
  3. Step 3: Cross multiply
    2,893.42x = 4,310.24 × 2,714.14
  4. Step 4: Simplify right side
    2,893.42x = 11,698,594.79
  5. Step 5: Solve for x
    x = 11,698,594.79/2,893.42
  6. Step 6: Final answer
    x = 4,043.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.