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Finding the Fourth Proportional to 1,927.34, 2,871.29 and 1,834.46

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Solution

The fourth proportional to 1,927.34, 2,871.29 and 1,834.46 is: 2,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.34 : 2,871.29 = 1,834.46 : x
  2. Step 2: Convert to fraction form
    1,927.34/2,871.29 = 1,834.46/x
  3. Step 3: Cross multiply
    1,927.34x = 2,871.29 × 1,834.46
  4. Step 4: Simplify right side
    1,927.34x = 5,267,243.12
  5. Step 5: Solve for x
    x = 5,267,243.12/1,927.34
  6. Step 6: Final answer
    x = 2,732.92

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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.