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Finding the Fourth Proportional to 2,329.66, 3,211.95 and 1,908.46

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Solution

The fourth proportional to 2,329.66, 3,211.95 and 1,908.46 is: 2,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.66 : 3,211.95 = 1,908.46 : x
  2. Step 2: Convert to fraction form
    2,329.66/3,211.95 = 1,908.46/x
  3. Step 3: Cross multiply
    2,329.66x = 3,211.95 × 1,908.46
  4. Step 4: Simplify right side
    2,329.66x = 6,129,878.10
  5. Step 5: Solve for x
    x = 6,129,878.10/2,329.66
  6. Step 6: Final answer
    x = 2,631.23

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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.