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Finding the Fourth Proportional to 2,221.67, 3,065.64 and 1,277.48

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Solution

The fourth proportional to 2,221.67, 3,065.64 and 1,277.48 is: 1,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.67 : 3,065.64 = 1,277.48 : x
  2. Step 2: Convert to fraction form
    2,221.67/3,065.64 = 1,277.48/x
  3. Step 3: Cross multiply
    2,221.67x = 3,065.64 × 1,277.48
  4. Step 4: Simplify right side
    2,221.67x = 3,916,293.79
  5. Step 5: Solve for x
    x = 3,916,293.79/2,221.67
  6. Step 6: Final answer
    x = 1,762.77

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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.