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Finding the Fourth Proportional to 2,210.22, 3,315.12 and 822.93

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Solution

The fourth proportional to 2,210.22, 3,315.12 and 822.93 is: 1,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.22 : 3,315.12 = 822.93 : x
  2. Step 2: Convert to fraction form
    2,210.22/3,315.12 = 822.93/x
  3. Step 3: Cross multiply
    2,210.22x = 3,315.12 × 822.93
  4. Step 4: Simplify right side
    2,210.22x = 2,728,111.70
  5. Step 5: Solve for x
    x = 2,728,111.70/2,210.22
  6. Step 6: Final answer
    x = 1,234.32

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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.