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Finding the Fourth Proportional to 2,382.34, 3,570.77 and 1,601.40

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Solution

The fourth proportional to 2,382.34, 3,570.77 and 1,601.40 is: 2,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.34 : 3,570.77 = 1,601.40 : x
  2. Step 2: Convert to fraction form
    2,382.34/3,570.77 = 1,601.40/x
  3. Step 3: Cross multiply
    2,382.34x = 3,570.77 × 1,601.40
  4. Step 4: Simplify right side
    2,382.34x = 5,718,231.08
  5. Step 5: Solve for x
    x = 5,718,231.08/2,382.34
  6. Step 6: Final answer
    x = 2,400.26

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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.