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Finding the Fourth Proportional to 2,221.53, 3,065.79 and 1,277.19

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Solution

The fourth proportional to 2,221.53, 3,065.79 and 1,277.19 is: 1,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.53 : 3,065.79 = 1,277.19 : x
  2. Step 2: Convert to fraction form
    2,221.53/3,065.79 = 1,277.19/x
  3. Step 3: Cross multiply
    2,221.53x = 3,065.79 × 1,277.19
  4. Step 4: Simplify right side
    2,221.53x = 3,915,596.33
  5. Step 5: Solve for x
    x = 3,915,596.33/2,221.53
  6. Step 6: Final answer
    x = 1,762.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.