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Finding the Fourth Proportional to 4,193.78, 6,290.82 and 1,420.70

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Solution

The fourth proportional to 4,193.78, 6,290.82 and 1,420.70 is: 2,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.78 : 6,290.82 = 1,420.70 : x
  2. Step 2: Convert to fraction form
    4,193.78/6,290.82 = 1,420.70/x
  3. Step 3: Cross multiply
    4,193.78x = 6,290.82 × 1,420.70
  4. Step 4: Simplify right side
    4,193.78x = 8,937,367.97
  5. Step 5: Solve for x
    x = 8,937,367.97/4,193.78
  6. Step 6: Final answer
    x = 2,131.10

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