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Finding the Fourth Proportional to 2,894.27, 4,343.22 and 1,433.57

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Solution

The fourth proportional to 2,894.27, 4,343.22 and 1,433.57 is: 2,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.27 : 4,343.22 = 1,433.57 : x
  2. Step 2: Convert to fraction form
    2,894.27/4,343.22 = 1,433.57/x
  3. Step 3: Cross multiply
    2,894.27x = 4,343.22 × 1,433.57
  4. Step 4: Simplify right side
    2,894.27x = 6,226,288.18
  5. Step 5: Solve for x
    x = 6,226,288.18/2,894.27
  6. Step 6: Final answer
    x = 2,151.25

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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.