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Finding the Fourth Proportional to 2,566.20, 3,841.20 and 1,837.20

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Solution

The fourth proportional to 2,566.20, 3,841.20 and 1,837.20 is: 2,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.20 : 3,841.20 = 1,837.20 : x
  2. Step 2: Convert to fraction form
    2,566.20/3,841.20 = 1,837.20/x
  3. Step 3: Cross multiply
    2,566.20x = 3,841.20 × 1,837.20
  4. Step 4: Simplify right side
    2,566.20x = 7,057,052.64
  5. Step 5: Solve for x
    x = 7,057,052.64/2,566.20
  6. Step 6: Final answer
    x = 2,750.00

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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.