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Finding the Fourth Proportional to 2,906.32, 4,356.12 and 1,364.08

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Solution

The fourth proportional to 2,906.32, 4,356.12 and 1,364.08 is: 2,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.32 : 4,356.12 = 1,364.08 : x
  2. Step 2: Convert to fraction form
    2,906.32/4,356.12 = 1,364.08/x
  3. Step 3: Cross multiply
    2,906.32x = 4,356.12 × 1,364.08
  4. Step 4: Simplify right side
    2,906.32x = 5,942,096.17
  5. Step 5: Solve for x
    x = 5,942,096.17/2,906.32
  6. Step 6: Final answer
    x = 2,044.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.