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Finding the Fourth Proportional to 2,398.82, 3,592.00 and 2,054.36

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Solution

The fourth proportional to 2,398.82, 3,592.00 and 2,054.36 is: 3,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.82 : 3,592.00 = 2,054.36 : x
  2. Step 2: Convert to fraction form
    2,398.82/3,592.00 = 2,054.36/x
  3. Step 3: Cross multiply
    2,398.82x = 3,592.00 × 2,054.36
  4. Step 4: Simplify right side
    2,398.82x = 7,379,261.11
  5. Step 5: Solve for x
    x = 7,379,261.11/2,398.82
  6. Step 6: Final answer
    x = 3,076.21

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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.