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Finding the Fourth Proportional to 2,588.84, 3,873.91 and 2,227.98

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Solution

The fourth proportional to 2,588.84, 3,873.91 and 2,227.98 is: 3,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.84 : 3,873.91 = 2,227.98 : x
  2. Step 2: Convert to fraction form
    2,588.84/3,873.91 = 2,227.98/x
  3. Step 3: Cross multiply
    2,588.84x = 3,873.91 × 2,227.98
  4. Step 4: Simplify right side
    2,588.84x = 8,630,994.00
  5. Step 5: Solve for x
    x = 8,630,994.00/2,588.84
  6. Step 6: Final answer
    x = 3,333.92

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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.