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Finding the Fourth Proportional to 3,102.94, 4,630.87 and 2,774.62

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Solution

The fourth proportional to 3,102.94, 4,630.87 and 2,774.62 is: 4,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,630.87 = 2,774.62 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,630.87 = 2,774.62/x
  3. Step 3: Cross multiply
    3,102.94x = 4,630.87 × 2,774.62
  4. Step 4: Simplify right side
    3,102.94x = 12,848,904.52
  5. Step 5: Solve for x
    x = 12,848,904.52/3,102.94
  6. Step 6: Final answer
    x = 4,140.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.