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Finding the Fourth Proportional to 2,257.72, 3,368.45 and 2,024.44

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Solution

The fourth proportional to 2,257.72, 3,368.45 and 2,024.44 is: 3,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.72 : 3,368.45 = 2,024.44 : x
  2. Step 2: Convert to fraction form
    2,257.72/3,368.45 = 2,024.44/x
  3. Step 3: Cross multiply
    2,257.72x = 3,368.45 × 2,024.44
  4. Step 4: Simplify right side
    2,257.72x = 6,819,224.92
  5. Step 5: Solve for x
    x = 6,819,224.92/2,257.72
  6. Step 6: Final answer
    x = 3,020.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.