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Finding the Fourth Proportional to 1,885.47, 2,826.17 and 1,226.53

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Solution

The fourth proportional to 1,885.47, 2,826.17 and 1,226.53 is: 1,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.47 : 2,826.17 = 1,226.53 : x
  2. Step 2: Convert to fraction form
    1,885.47/2,826.17 = 1,226.53/x
  3. Step 3: Cross multiply
    1,885.47x = 2,826.17 × 1,226.53
  4. Step 4: Simplify right side
    1,885.47x = 3,466,382.29
  5. Step 5: Solve for x
    x = 3,466,382.29/1,885.47
  6. Step 6: Final answer
    x = 1,838.47

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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.