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Finding the Fourth Proportional to 2,341.35, 3,509.32 and 879.57

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Solution

The fourth proportional to 2,341.35, 3,509.32 and 879.57 is: 1,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.35 : 3,509.32 = 879.57 : x
  2. Step 2: Convert to fraction form
    2,341.35/3,509.32 = 879.57/x
  3. Step 3: Cross multiply
    2,341.35x = 3,509.32 × 879.57
  4. Step 4: Simplify right side
    2,341.35x = 3,086,692.59
  5. Step 5: Solve for x
    x = 3,086,692.59/2,341.35
  6. Step 6: Final answer
    x = 1,318.34

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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.