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Finding the Fourth Proportional to 2,210.18, 3,316.69 and 911.75

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Solution

The fourth proportional to 2,210.18, 3,316.69 and 911.75 is: 1,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.18 : 3,316.69 = 911.75 : x
  2. Step 2: Convert to fraction form
    2,210.18/3,316.69 = 911.75/x
  3. Step 3: Cross multiply
    2,210.18x = 3,316.69 × 911.75
  4. Step 4: Simplify right side
    2,210.18x = 3,023,992.11
  5. Step 5: Solve for x
    x = 3,023,992.11/2,210.18
  6. Step 6: Final answer
    x = 1,368.21

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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.