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Finding the Fourth Proportional to 2,857.02, 4,303.13 and 2,654.22

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Solution

The fourth proportional to 2,857.02, 4,303.13 and 2,654.22 is: 3,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.02 : 4,303.13 = 2,654.22 : x
  2. Step 2: Convert to fraction form
    2,857.02/4,303.13 = 2,654.22/x
  3. Step 3: Cross multiply
    2,857.02x = 4,303.13 × 2,654.22
  4. Step 4: Simplify right side
    2,857.02x = 11,421,440.44
  5. Step 5: Solve for x
    x = 11,421,440.44/2,857.02
  6. Step 6: Final answer
    x = 3,997.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.