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Finding the Fourth Proportional to 2,589.84, 3,875.41 and 2,228.98

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Solution

The fourth proportional to 2,589.84, 3,875.41 and 2,228.98 is: 3,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.84 : 3,875.41 = 2,228.98 : x
  2. Step 2: Convert to fraction form
    2,589.84/3,875.41 = 2,228.98/x
  3. Step 3: Cross multiply
    2,589.84x = 3,875.41 × 2,228.98
  4. Step 4: Simplify right side
    2,589.84x = 8,638,211.38
  5. Step 5: Solve for x
    x = 8,638,211.38/2,589.84
  6. Step 6: Final answer
    x = 3,335.42

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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.