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Finding the Fourth Proportional to 2,156.92, 2,974.98 and 1,493.80

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Solution

The fourth proportional to 2,156.92, 2,974.98 and 1,493.80 is: 2,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.92 : 2,974.98 = 1,493.80 : x
  2. Step 2: Convert to fraction form
    2,156.92/2,974.98 = 1,493.80/x
  3. Step 3: Cross multiply
    2,156.92x = 2,974.98 × 1,493.80
  4. Step 4: Simplify right side
    2,156.92x = 4,444,025.12
  5. Step 5: Solve for x
    x = 4,444,025.12/2,156.92
  6. Step 6: Final answer
    x = 2,060.36

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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.