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Finding the Fourth Proportional to 2,906.58, 4,012.02 and 2,160.30

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Solution

The fourth proportional to 2,906.58, 4,012.02 and 2,160.30 is: 2,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.58 : 4,012.02 = 2,160.30 : x
  2. Step 2: Convert to fraction form
    2,906.58/4,012.02 = 2,160.30/x
  3. Step 3: Cross multiply
    2,906.58x = 4,012.02 × 2,160.30
  4. Step 4: Simplify right side
    2,906.58x = 8,667,166.81
  5. Step 5: Solve for x
    x = 8,667,166.81/2,906.58
  6. Step 6: Final answer
    x = 2,981.91

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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.