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Finding the Fourth Proportional to 3,102.88, 4,277.76 and 2,217.14

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Solution

The fourth proportional to 3,102.88, 4,277.76 and 2,217.14 is: 3,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.88 : 4,277.76 = 2,217.14 : x
  2. Step 2: Convert to fraction form
    3,102.88/4,277.76 = 2,217.14/x
  3. Step 3: Cross multiply
    3,102.88x = 4,277.76 × 2,217.14
  4. Step 4: Simplify right side
    3,102.88x = 9,484,392.81
  5. Step 5: Solve for x
    x = 9,484,392.81/3,102.88
  6. Step 6: Final answer
    x = 3,056.64

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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.