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Finding the Fourth Proportional to 2,853.06, 3,937.23 and 1,611.06

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Solution

The fourth proportional to 2,853.06, 3,937.23 and 1,611.06 is: 2,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.06 : 3,937.23 = 1,611.06 : x
  2. Step 2: Convert to fraction form
    2,853.06/3,937.23 = 1,611.06/x
  3. Step 3: Cross multiply
    2,853.06x = 3,937.23 × 1,611.06
  4. Step 4: Simplify right side
    2,853.06x = 6,343,113.76
  5. Step 5: Solve for x
    x = 6,343,113.76/2,853.06
  6. Step 6: Final answer
    x = 2,223.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.