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Finding the Fourth Proportional to 1,765.37, 2,437.20 and 1,206.65

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Solution

The fourth proportional to 1,765.37, 2,437.20 and 1,206.65 is: 1,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.37 : 2,437.20 = 1,206.65 : x
  2. Step 2: Convert to fraction form
    1,765.37/2,437.20 = 1,206.65/x
  3. Step 3: Cross multiply
    1,765.37x = 2,437.20 × 1,206.65
  4. Step 4: Simplify right side
    1,765.37x = 2,940,835.19
  5. Step 5: Solve for x
    x = 2,940,835.19/1,765.37
  6. Step 6: Final answer
    x = 1,665.85

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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.