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Finding the Fourth Proportional to 2,379.40, 3,566.34 and 1,406.32

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Solution

The fourth proportional to 2,379.40, 3,566.34 and 1,406.32 is: 2,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.40 : 3,566.34 = 1,406.32 : x
  2. Step 2: Convert to fraction form
    2,379.40/3,566.34 = 1,406.32/x
  3. Step 3: Cross multiply
    2,379.40x = 3,566.34 × 1,406.32
  4. Step 4: Simplify right side
    2,379.40x = 5,015,415.27
  5. Step 5: Solve for x
    x = 5,015,415.27/2,379.40
  6. Step 6: Final answer
    x = 2,107.85

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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.