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Finding the Fourth Proportional to 4,781.70, 7,168.43 and 1,818.50

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Solution

The fourth proportional to 4,781.70, 7,168.43 and 1,818.50 is: 2,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.70 : 7,168.43 = 1,818.50 : x
  2. Step 2: Convert to fraction form
    4,781.70/7,168.43 = 1,818.50/x
  3. Step 3: Cross multiply
    4,781.70x = 7,168.43 × 1,818.50
  4. Step 4: Simplify right side
    4,781.70x = 13,035,758.66
  5. Step 5: Solve for x
    x = 13,035,758.66/4,781.70
  6. Step 6: Final answer
    x = 2,726.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.