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Finding the Fourth Proportional to 2,816.85, 3,888.09 and 1,822.13

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Solution

The fourth proportional to 2,816.85, 3,888.09 and 1,822.13 is: 2,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.85 : 3,888.09 = 1,822.13 : x
  2. Step 2: Convert to fraction form
    2,816.85/3,888.09 = 1,822.13/x
  3. Step 3: Cross multiply
    2,816.85x = 3,888.09 × 1,822.13
  4. Step 4: Simplify right side
    2,816.85x = 7,084,585.99
  5. Step 5: Solve for x
    x = 7,084,585.99/2,816.85
  6. Step 6: Final answer
    x = 2,515.07

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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.