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Finding the Fourth Proportional to 3,422.74, 4,721.25 and 2,024.50

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Solution

The fourth proportional to 3,422.74, 4,721.25 and 2,024.50 is: 2,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.74 : 4,721.25 = 2,024.50 : x
  2. Step 2: Convert to fraction form
    3,422.74/4,721.25 = 2,024.50/x
  3. Step 3: Cross multiply
    3,422.74x = 4,721.25 × 2,024.50
  4. Step 4: Simplify right side
    3,422.74x = 9,558,170.63
  5. Step 5: Solve for x
    x = 9,558,170.63/3,422.74
  6. Step 6: Final answer
    x = 2,792.55

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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.