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Finding the Fourth Proportional to 2,539.97, 3,787.61 and 2,338.01

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Solution

The fourth proportional to 2,539.97, 3,787.61 and 2,338.01 is: 3,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.97 : 3,787.61 = 2,338.01 : x
  2. Step 2: Convert to fraction form
    2,539.97/3,787.61 = 2,338.01/x
  3. Step 3: Cross multiply
    2,539.97x = 3,787.61 × 2,338.01
  4. Step 4: Simplify right side
    2,539.97x = 8,855,488.09
  5. Step 5: Solve for x
    x = 8,855,488.09/2,539.97
  6. Step 6: Final answer
    x = 3,486.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.