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Finding the Fourth Proportional to 2,210.34, 3,316.39 and 911.51

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Solution

The fourth proportional to 2,210.34, 3,316.39 and 911.51 is: 1,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.34 : 3,316.39 = 911.51 : x
  2. Step 2: Convert to fraction form
    2,210.34/3,316.39 = 911.51/x
  3. Step 3: Cross multiply
    2,210.34x = 3,316.39 × 911.51
  4. Step 4: Simplify right side
    2,210.34x = 3,022,903.79
  5. Step 5: Solve for x
    x = 3,022,903.79/2,210.34
  6. Step 6: Final answer
    x = 1,367.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.