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Finding the Fourth Proportional to 1,916.34, 2,871.74 and 1,092.88

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Solution

The fourth proportional to 1,916.34, 2,871.74 and 1,092.88 is: 1,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.34 : 2,871.74 = 1,092.88 : x
  2. Step 2: Convert to fraction form
    1,916.34/2,871.74 = 1,092.88/x
  3. Step 3: Cross multiply
    1,916.34x = 2,871.74 × 1,092.88
  4. Step 4: Simplify right side
    1,916.34x = 3,138,467.21
  5. Step 5: Solve for x
    x = 3,138,467.21/1,916.34
  6. Step 6: Final answer
    x = 1,637.74

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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.