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Finding the Fourth Proportional to 2,465.87, 3,398.19 and 1,766.03

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Solution

The fourth proportional to 2,465.87, 3,398.19 and 1,766.03 is: 2,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.87 : 3,398.19 = 1,766.03 : x
  2. Step 2: Convert to fraction form
    2,465.87/3,398.19 = 1,766.03/x
  3. Step 3: Cross multiply
    2,465.87x = 3,398.19 × 1,766.03
  4. Step 4: Simplify right side
    2,465.87x = 6,001,305.49
  5. Step 5: Solve for x
    x = 6,001,305.49/2,465.87
  6. Step 6: Final answer
    x = 2,433.75

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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.