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Finding the Fourth Proportional to 2,210.77, 3,314.94 and 911.53

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Solution

The fourth proportional to 2,210.77, 3,314.94 and 911.53 is: 1,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.77 : 3,314.94 = 911.53 : x
  2. Step 2: Convert to fraction form
    2,210.77/3,314.94 = 911.53/x
  3. Step 3: Cross multiply
    2,210.77x = 3,314.94 × 911.53
  4. Step 4: Simplify right side
    2,210.77x = 3,021,667.26
  5. Step 5: Solve for x
    x = 3,021,667.26/2,210.77
  6. Step 6: Final answer
    x = 1,366.79

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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.