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Finding the Fourth Proportional to 2,110.84, 3,163.30 and 999.08

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Solution

The fourth proportional to 2,110.84, 3,163.30 and 999.08 is: 1,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.84 : 3,163.30 = 999.08 : x
  2. Step 2: Convert to fraction form
    2,110.84/3,163.30 = 999.08/x
  3. Step 3: Cross multiply
    2,110.84x = 3,163.30 × 999.08
  4. Step 4: Simplify right side
    2,110.84x = 3,160,389.76
  5. Step 5: Solve for x
    x = 3,160,389.76/2,110.84
  6. Step 6: Final answer
    x = 1,497.22

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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.