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Finding the Fourth Proportional to 2,562.36, 3,843.90 and 1,002.08

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Solution

The fourth proportional to 2,562.36, 3,843.90 and 1,002.08 is: 1,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.36 : 3,843.90 = 1,002.08 : x
  2. Step 2: Convert to fraction form
    2,562.36/3,843.90 = 1,002.08/x
  3. Step 3: Cross multiply
    2,562.36x = 3,843.90 × 1,002.08
  4. Step 4: Simplify right side
    2,562.36x = 3,851,895.31
  5. Step 5: Solve for x
    x = 3,851,895.31/2,562.36
  6. Step 6: Final answer
    x = 1,503.26

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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.