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Finding the Fourth Proportional to 2,379.30, 3,284.25 and 1,435.62

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Solution

The fourth proportional to 2,379.30, 3,284.25 and 1,435.62 is: 1,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.30 : 3,284.25 = 1,435.62 : x
  2. Step 2: Convert to fraction form
    2,379.30/3,284.25 = 1,435.62/x
  3. Step 3: Cross multiply
    2,379.30x = 3,284.25 × 1,435.62
  4. Step 4: Simplify right side
    2,379.30x = 4,714,934.99
  5. Step 5: Solve for x
    x = 4,714,934.99/2,379.30
  6. Step 6: Final answer
    x = 1,981.65

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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.