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Finding the Fourth Proportional to 2,328.17, 3,488.18 and 1,940.66

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Solution

The fourth proportional to 2,328.17, 3,488.18 and 1,940.66 is: 2,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.17 : 3,488.18 = 1,940.66 : x
  2. Step 2: Convert to fraction form
    2,328.17/3,488.18 = 1,940.66/x
  3. Step 3: Cross multiply
    2,328.17x = 3,488.18 × 1,940.66
  4. Step 4: Simplify right side
    2,328.17x = 6,769,344.25
  5. Step 5: Solve for x
    x = 6,769,344.25/2,328.17
  6. Step 6: Final answer
    x = 2,907.59

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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.