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Finding the Fourth Proportional to 1,765.92, 2,437.20 and 1,206.96

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Solution

The fourth proportional to 1,765.92, 2,437.20 and 1,206.96 is: 1,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.92 : 2,437.20 = 1,206.96 : x
  2. Step 2: Convert to fraction form
    1,765.92/2,437.20 = 1,206.96/x
  3. Step 3: Cross multiply
    1,765.92x = 2,437.20 × 1,206.96
  4. Step 4: Simplify right side
    1,765.92x = 2,941,602.91
  5. Step 5: Solve for x
    x = 2,941,602.91/1,765.92
  6. Step 6: Final answer
    x = 1,665.76

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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.