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Finding the Fourth Proportional to 1,842.66, 2,777.00 and 1,733.22

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Solution

The fourth proportional to 1,842.66, 2,777.00 and 1,733.22 is: 2,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.66 : 2,777.00 = 1,733.22 : x
  2. Step 2: Convert to fraction form
    1,842.66/2,777.00 = 1,733.22/x
  3. Step 3: Cross multiply
    1,842.66x = 2,777.00 × 1,733.22
  4. Step 4: Simplify right side
    1,842.66x = 4,813,143.27
  5. Step 5: Solve for x
    x = 4,813,143.27/1,842.66
  6. Step 6: Final answer
    x = 2,612.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.