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Finding the Fourth Proportional to 4,202.31, 6,300.42 and 1,981.29

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Solution

The fourth proportional to 4,202.31, 6,300.42 and 1,981.29 is: 2,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.31 : 6,300.42 = 1,981.29 : x
  2. Step 2: Convert to fraction form
    4,202.31/6,300.42 = 1,981.29/x
  3. Step 3: Cross multiply
    4,202.31x = 6,300.42 × 1,981.29
  4. Step 4: Simplify right side
    4,202.31x = 12,482,959.14
  5. Step 5: Solve for x
    x = 12,482,959.14/4,202.31
  6. Step 6: Final answer
    x = 2,970.50

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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.