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Finding the Fourth Proportional to 2,298.53, 3,447.81 and 759.53

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Solution

The fourth proportional to 2,298.53, 3,447.81 and 759.53 is: 1,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.53 : 3,447.81 = 759.53 : x
  2. Step 2: Convert to fraction form
    2,298.53/3,447.81 = 759.53/x
  3. Step 3: Cross multiply
    2,298.53x = 3,447.81 × 759.53
  4. Step 4: Simplify right side
    2,298.53x = 2,618,715.13
  5. Step 5: Solve for x
    x = 2,618,715.13/2,298.53
  6. Step 6: Final answer
    x = 1,139.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.