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Finding the Fourth Proportional to 3,061.36, 4,220.61 and 2,434

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Solution

The fourth proportional to 3,061.36, 4,220.61 and 2,434 is: 3,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.36 : 4,220.61 = 2,434 : x
  2. Step 2: Convert to fraction form
    3,061.36/4,220.61 = 2,434/x
  3. Step 3: Cross multiply
    3,061.36x = 4,220.61 × 2,434
  4. Step 4: Simplify right side
    3,061.36x = 10,272,964.74
  5. Step 5: Solve for x
    x = 10,272,964.74/3,061.36
  6. Step 6: Final answer
    x = 3,355.69

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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.