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Finding the Fourth Proportional to 2,408.78, 3,323.13 and 1,848.26

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Solution

The fourth proportional to 2,408.78, 3,323.13 and 1,848.26 is: 2,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.78 : 3,323.13 = 1,848.26 : x
  2. Step 2: Convert to fraction form
    2,408.78/3,323.13 = 1,848.26/x
  3. Step 3: Cross multiply
    2,408.78x = 3,323.13 × 1,848.26
  4. Step 4: Simplify right side
    2,408.78x = 6,141,991.64
  5. Step 5: Solve for x
    x = 6,141,991.64/2,408.78
  6. Step 6: Final answer
    x = 2,549.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.