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Finding the Fourth Proportional to 2,210.76, 3,309.12 and 1,233.90

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Solution

The fourth proportional to 2,210.76, 3,309.12 and 1,233.90 is: 1,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.76 : 3,309.12 = 1,233.90 : x
  2. Step 2: Convert to fraction form
    2,210.76/3,309.12 = 1,233.90/x
  3. Step 3: Cross multiply
    2,210.76x = 3,309.12 × 1,233.90
  4. Step 4: Simplify right side
    2,210.76x = 4,083,123.17
  5. Step 5: Solve for x
    x = 4,083,123.17/2,210.76
  6. Step 6: Final answer
    x = 1,846.93

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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.