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Finding the Fourth Proportional to 2,194.88, 3,031.38 and 1,703.48

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Solution

The fourth proportional to 2,194.88, 3,031.38 and 1,703.48 is: 2,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.88 : 3,031.38 = 1,703.48 : x
  2. Step 2: Convert to fraction form
    2,194.88/3,031.38 = 1,703.48/x
  3. Step 3: Cross multiply
    2,194.88x = 3,031.38 × 1,703.48
  4. Step 4: Simplify right side
    2,194.88x = 5,163,880.05
  5. Step 5: Solve for x
    x = 5,163,880.05/2,194.88
  6. Step 6: Final answer
    x = 2,352.70

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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.