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Finding the Fourth Proportional to 2,379.80, 3,285.42 and 1,435.76

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Solution

The fourth proportional to 2,379.80, 3,285.42 and 1,435.76 is: 1,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.80 : 3,285.42 = 1,435.76 : x
  2. Step 2: Convert to fraction form
    2,379.80/3,285.42 = 1,435.76/x
  3. Step 3: Cross multiply
    2,379.80x = 3,285.42 × 1,435.76
  4. Step 4: Simplify right side
    2,379.80x = 4,717,074.62
  5. Step 5: Solve for x
    x = 4,717,074.62/2,379.80
  6. Step 6: Final answer
    x = 1,982.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.