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Finding the Fourth Proportional to 2,851.94, 4,278.17 and 904.43

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Solution

The fourth proportional to 2,851.94, 4,278.17 and 904.43 is: 1,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.94 : 4,278.17 = 904.43 : x
  2. Step 2: Convert to fraction form
    2,851.94/4,278.17 = 904.43/x
  3. Step 3: Cross multiply
    2,851.94x = 4,278.17 × 904.43
  4. Step 4: Simplify right side
    2,851.94x = 3,869,286.16
  5. Step 5: Solve for x
    x = 3,869,286.16/2,851.94
  6. Step 6: Final answer
    x = 1,356.72

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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.