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Finding the Fourth Proportional to 2,382.68, 3,289.59 and 1,499.78

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Solution

The fourth proportional to 2,382.68, 3,289.59 and 1,499.78 is: 2,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.68 : 3,289.59 = 1,499.78 : x
  2. Step 2: Convert to fraction form
    2,382.68/3,289.59 = 1,499.78/x
  3. Step 3: Cross multiply
    2,382.68x = 3,289.59 × 1,499.78
  4. Step 4: Simplify right side
    2,382.68x = 4,933,661.29
  5. Step 5: Solve for x
    x = 4,933,661.29/2,382.68
  6. Step 6: Final answer
    x = 2,070.64

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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.