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Finding the Fourth Proportional to 2,338.10, 3,510.51 and 2,296.59

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Solution

The fourth proportional to 2,338.10, 3,510.51 and 2,296.59 is: 3,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.10 : 3,510.51 = 2,296.59 : x
  2. Step 2: Convert to fraction form
    2,338.10/3,510.51 = 2,296.59/x
  3. Step 3: Cross multiply
    2,338.10x = 3,510.51 × 2,296.59
  4. Step 4: Simplify right side
    2,338.10x = 8,062,180.38
  5. Step 5: Solve for x
    x = 8,062,180.38/2,338.10
  6. Step 6: Final answer
    x = 3,448.18

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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.