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Finding the Fourth Proportional to 2,382.86, 3,574.76 and 1,689.78

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Solution

The fourth proportional to 2,382.86, 3,574.76 and 1,689.78 is: 2,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.86 : 3,574.76 = 1,689.78 : x
  2. Step 2: Convert to fraction form
    2,382.86/3,574.76 = 1,689.78/x
  3. Step 3: Cross multiply
    2,382.86x = 3,574.76 × 1,689.78
  4. Step 4: Simplify right side
    2,382.86x = 6,040,557.95
  5. Step 5: Solve for x
    x = 6,040,557.95/2,382.86
  6. Step 6: Final answer
    x = 2,535.00

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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.