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Finding the Fourth Proportional to 3,340.87, 4,610.32 and 1,828.40

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Solution

The fourth proportional to 3,340.87, 4,610.32 and 1,828.40 is: 2,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.87 : 4,610.32 = 1,828.40 : x
  2. Step 2: Convert to fraction form
    3,340.87/4,610.32 = 1,828.40/x
  3. Step 3: Cross multiply
    3,340.87x = 4,610.32 × 1,828.40
  4. Step 4: Simplify right side
    3,340.87x = 8,429,481.47
  5. Step 5: Solve for x
    x = 8,429,481.47/3,340.87
  6. Step 6: Final answer
    x = 2,523.14

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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.