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Finding the Fourth Proportional to 3,110.34, 4,292.19 and 1,713

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Solution

The fourth proportional to 3,110.34, 4,292.19 and 1,713 is: 2,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.34 : 4,292.19 = 1,713 : x
  2. Step 2: Convert to fraction form
    3,110.34/4,292.19 = 1,713/x
  3. Step 3: Cross multiply
    3,110.34x = 4,292.19 × 1,713
  4. Step 4: Simplify right side
    3,110.34x = 7,352,521.47
  5. Step 5: Solve for x
    x = 7,352,521.47/3,110.34
  6. Step 6: Final answer
    x = 2,363.90

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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.