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Finding the Fourth Proportional to 2,328.96, 3,476.27 and 2,134.11

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Solution

The fourth proportional to 2,328.96, 3,476.27 and 2,134.11 is: 3,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.96 : 3,476.27 = 2,134.11 : x
  2. Step 2: Convert to fraction form
    2,328.96/3,476.27 = 2,134.11/x
  3. Step 3: Cross multiply
    2,328.96x = 3,476.27 × 2,134.11
  4. Step 4: Simplify right side
    2,328.96x = 7,418,731.90
  5. Step 5: Solve for x
    x = 7,418,731.90/2,328.96
  6. Step 6: Final answer
    x = 3,185.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.