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Finding the Fourth Proportional to 2,812.23, 3,881.07 and 2,069.58

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Solution

The fourth proportional to 2,812.23, 3,881.07 and 2,069.58 is: 2,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.23 : 3,881.07 = 2,069.58 : x
  2. Step 2: Convert to fraction form
    2,812.23/3,881.07 = 2,069.58/x
  3. Step 3: Cross multiply
    2,812.23x = 3,881.07 × 2,069.58
  4. Step 4: Simplify right side
    2,812.23x = 8,032,184.85
  5. Step 5: Solve for x
    x = 8,032,184.85/2,812.23
  6. Step 6: Final answer
    x = 2,856.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.