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Finding the Fourth Proportional to 2,086.59, 2,880.06 and 1,378.53

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Solution

The fourth proportional to 2,086.59, 2,880.06 and 1,378.53 is: 1,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.59 : 2,880.06 = 1,378.53 : x
  2. Step 2: Convert to fraction form
    2,086.59/2,880.06 = 1,378.53/x
  3. Step 3: Cross multiply
    2,086.59x = 2,880.06 × 1,378.53
  4. Step 4: Simplify right side
    2,086.59x = 3,970,249.11
  5. Step 5: Solve for x
    x = 3,970,249.11/2,086.59
  6. Step 6: Final answer
    x = 1,902.75

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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.