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Finding the Fourth Proportional to 2,701.89, 3,730.20 and 1,772.01

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Solution

The fourth proportional to 2,701.89, 3,730.20 and 1,772.01 is: 2,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.89 : 3,730.20 = 1,772.01 : x
  2. Step 2: Convert to fraction form
    2,701.89/3,730.20 = 1,772.01/x
  3. Step 3: Cross multiply
    2,701.89x = 3,730.20 × 1,772.01
  4. Step 4: Simplify right side
    2,701.89x = 6,609,951.70
  5. Step 5: Solve for x
    x = 6,609,951.70/2,701.89
  6. Step 6: Final answer
    x = 2,446.42

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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.