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Finding the Fourth Proportional to 2,124.84, 3,169.20 and 2,087.96

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Solution

The fourth proportional to 2,124.84, 3,169.20 and 2,087.96 is: 3,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.84 : 3,169.20 = 2,087.96 : x
  2. Step 2: Convert to fraction form
    2,124.84/3,169.20 = 2,087.96/x
  3. Step 3: Cross multiply
    2,124.84x = 3,169.20 × 2,087.96
  4. Step 4: Simplify right side
    2,124.84x = 6,617,162.83
  5. Step 5: Solve for x
    x = 6,617,162.83/2,124.84
  6. Step 6: Final answer
    x = 3,114.19

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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.