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Finding the Fourth Proportional to 2,210.02, 3,316.34 and 824.33

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Solution

The fourth proportional to 2,210.02, 3,316.34 and 824.33 is: 1,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.02 : 3,316.34 = 824.33 : x
  2. Step 2: Convert to fraction form
    2,210.02/3,316.34 = 824.33/x
  3. Step 3: Cross multiply
    2,210.02x = 3,316.34 × 824.33
  4. Step 4: Simplify right side
    2,210.02x = 2,733,768.90
  5. Step 5: Solve for x
    x = 2,733,768.90/2,210.02
  6. Step 6: Final answer
    x = 1,236.99

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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.