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Finding the Fourth Proportional to 3,092.87, 4,641.14 and 1,146.44

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Solution

The fourth proportional to 3,092.87, 4,641.14 and 1,146.44 is: 1,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.87 : 4,641.14 = 1,146.44 : x
  2. Step 2: Convert to fraction form
    3,092.87/4,641.14 = 1,146.44/x
  3. Step 3: Cross multiply
    3,092.87x = 4,641.14 × 1,146.44
  4. Step 4: Simplify right side
    3,092.87x = 5,320,803.01
  5. Step 5: Solve for x
    x = 5,320,803.01/3,092.87
  6. Step 6: Final answer
    x = 1,720.34

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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.