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Finding the Fourth Proportional to 2,257.23, 3,393.41 and 1,849.40

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Solution

The fourth proportional to 2,257.23, 3,393.41 and 1,849.40 is: 2,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.23 : 3,393.41 = 1,849.40 : x
  2. Step 2: Convert to fraction form
    2,257.23/3,393.41 = 1,849.40/x
  3. Step 3: Cross multiply
    2,257.23x = 3,393.41 × 1,849.40
  4. Step 4: Simplify right side
    2,257.23x = 6,275,746.24
  5. Step 5: Solve for x
    x = 6,275,746.24/2,257.23
  6. Step 6: Final answer
    x = 2,780.29

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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.