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Finding the Fourth Proportional to 2,910.61, 4,362.87 and 1,427.80

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Solution

The fourth proportional to 2,910.61, 4,362.87 and 1,427.80 is: 2,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.61 : 4,362.87 = 1,427.80 : x
  2. Step 2: Convert to fraction form
    2,910.61/4,362.87 = 1,427.80/x
  3. Step 3: Cross multiply
    2,910.61x = 4,362.87 × 1,427.80
  4. Step 4: Simplify right side
    2,910.61x = 6,229,283.97
  5. Step 5: Solve for x
    x = 6,229,283.97/2,910.61
  6. Step 6: Final answer
    x = 2,140.20

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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.