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Finding the Fourth Proportional to 2,061.78, 3,092.70 and 1,137.16

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Solution

The fourth proportional to 2,061.78, 3,092.70 and 1,137.16 is: 1,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.78 : 3,092.70 = 1,137.16 : x
  2. Step 2: Convert to fraction form
    2,061.78/3,092.70 = 1,137.16/x
  3. Step 3: Cross multiply
    2,061.78x = 3,092.70 × 1,137.16
  4. Step 4: Simplify right side
    2,061.78x = 3,516,894.73
  5. Step 5: Solve for x
    x = 3,516,894.73/2,061.78
  6. Step 6: Final answer
    x = 1,705.76

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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.