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Finding the Fourth Proportional to 2,379.87, 3,570.71 and 1,649.04

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Solution

The fourth proportional to 2,379.87, 3,570.71 and 1,649.04 is: 2,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.87 : 3,570.71 = 1,649.04 : x
  2. Step 2: Convert to fraction form
    2,379.87/3,570.71 = 1,649.04/x
  3. Step 3: Cross multiply
    2,379.87x = 3,570.71 × 1,649.04
  4. Step 4: Simplify right side
    2,379.87x = 5,888,235.37
  5. Step 5: Solve for x
    x = 5,888,235.37/2,379.87
  6. Step 6: Final answer
    x = 2,474.18

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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.