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Finding the Fourth Proportional to 2,780.52, 3,835.31 and 1,660.69

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Solution

The fourth proportional to 2,780.52, 3,835.31 and 1,660.69 is: 2,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.52 : 3,835.31 = 1,660.69 : x
  2. Step 2: Convert to fraction form
    2,780.52/3,835.31 = 1,660.69/x
  3. Step 3: Cross multiply
    2,780.52x = 3,835.31 × 1,660.69
  4. Step 4: Simplify right side
    2,780.52x = 6,369,260.96
  5. Step 5: Solve for x
    x = 6,369,260.96/2,780.52
  6. Step 6: Final answer
    x = 2,290.67

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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.