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Finding the Fourth Proportional to 2,382.86, 3,289.54 and 1,499.56

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Solution

The fourth proportional to 2,382.86, 3,289.54 and 1,499.56 is: 2,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.86 : 3,289.54 = 1,499.56 : x
  2. Step 2: Convert to fraction form
    2,382.86/3,289.54 = 1,499.56/x
  3. Step 3: Cross multiply
    2,382.86x = 3,289.54 × 1,499.56
  4. Step 4: Simplify right side
    2,382.86x = 4,932,846.15
  5. Step 5: Solve for x
    x = 4,932,846.15/2,382.86
  6. Step 6: Final answer
    x = 2,070.14

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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.