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Finding the Fourth Proportional to 2,148.66, 3,220.83 and 848.82

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Solution

The fourth proportional to 2,148.66, 3,220.83 and 848.82 is: 1,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.66 : 3,220.83 = 848.82 : x
  2. Step 2: Convert to fraction form
    2,148.66/3,220.83 = 848.82/x
  3. Step 3: Cross multiply
    2,148.66x = 3,220.83 × 848.82
  4. Step 4: Simplify right side
    2,148.66x = 2,733,904.92
  5. Step 5: Solve for x
    x = 2,733,904.92/2,148.66
  6. Step 6: Final answer
    x = 1,272.38

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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.