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Finding the Fourth Proportional to 2,566.12, 3,857.80 and 2,024.84

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Solution

The fourth proportional to 2,566.12, 3,857.80 and 2,024.84 is: 3,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.12 : 3,857.80 = 2,024.84 : x
  2. Step 2: Convert to fraction form
    2,566.12/3,857.80 = 2,024.84/x
  3. Step 3: Cross multiply
    2,566.12x = 3,857.80 × 2,024.84
  4. Step 4: Simplify right side
    2,566.12x = 7,811,427.75
  5. Step 5: Solve for x
    x = 7,811,427.75/2,566.12
  6. Step 6: Final answer
    x = 3,044.06

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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.