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Finding the Fourth Proportional to 2,068.83, 3,088.08 and 1,822.79

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Solution

The fourth proportional to 2,068.83, 3,088.08 and 1,822.79 is: 2,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.83 : 3,088.08 = 1,822.79 : x
  2. Step 2: Convert to fraction form
    2,068.83/3,088.08 = 1,822.79/x
  3. Step 3: Cross multiply
    2,068.83x = 3,088.08 × 1,822.79
  4. Step 4: Simplify right side
    2,068.83x = 5,628,905.90
  5. Step 5: Solve for x
    x = 5,628,905.90/2,068.83
  6. Step 6: Final answer
    x = 2,720.82

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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.