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Finding the Fourth Proportional to 1,977.92, 2,730.80 and 1,270.06

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Solution

The fourth proportional to 1,977.92, 2,730.80 and 1,270.06 is: 1,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.92 : 2,730.80 = 1,270.06 : x
  2. Step 2: Convert to fraction form
    1,977.92/2,730.80 = 1,270.06/x
  3. Step 3: Cross multiply
    1,977.92x = 2,730.80 × 1,270.06
  4. Step 4: Simplify right side
    1,977.92x = 3,468,279.85
  5. Step 5: Solve for x
    x = 3,468,279.85/1,977.92
  6. Step 6: Final answer
    x = 1,753.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.