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Finding the Fourth Proportional to 2,024.87, 2,794.19 and 1,140.80

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Solution

The fourth proportional to 2,024.87, 2,794.19 and 1,140.80 is: 1,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.87 : 2,794.19 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    2,024.87/2,794.19 = 1,140.80/x
  3. Step 3: Cross multiply
    2,024.87x = 2,794.19 × 1,140.80
  4. Step 4: Simplify right side
    2,024.87x = 3,187,592.28
  5. Step 5: Solve for x
    x = 3,187,592.28/2,024.87
  6. Step 6: Final answer
    x = 1,574.22

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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.