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Finding the Fourth Proportional to 2,382.78, 3,288.63 and 1,451.22

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Solution

The fourth proportional to 2,382.78, 3,288.63 and 1,451.22 is: 2,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.78 : 3,288.63 = 1,451.22 : x
  2. Step 2: Convert to fraction form
    2,382.78/3,288.63 = 1,451.22/x
  3. Step 3: Cross multiply
    2,382.78x = 3,288.63 × 1,451.22
  4. Step 4: Simplify right side
    2,382.78x = 4,772,525.63
  5. Step 5: Solve for x
    x = 4,772,525.63/2,382.78
  6. Step 6: Final answer
    x = 2,002.92

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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.