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Finding the Fourth Proportional to 3,031.50, 4,184.22 and 1,853.57

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Solution

The fourth proportional to 3,031.50, 4,184.22 and 1,853.57 is: 2,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.50 : 4,184.22 = 1,853.57 : x
  2. Step 2: Convert to fraction form
    3,031.50/4,184.22 = 1,853.57/x
  3. Step 3: Cross multiply
    3,031.50x = 4,184.22 × 1,853.57
  4. Step 4: Simplify right side
    3,031.50x = 7,755,723.74
  5. Step 5: Solve for x
    x = 7,755,723.74/3,031.50
  6. Step 6: Final answer
    x = 2,558.38

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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.