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Finding the Fourth Proportional to 2,779.71, 3,835.92 and 1,660.40

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Solution

The fourth proportional to 2,779.71, 3,835.92 and 1,660.40 is: 2,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.71 : 3,835.92 = 1,660.40 : x
  2. Step 2: Convert to fraction form
    2,779.71/3,835.92 = 1,660.40/x
  3. Step 3: Cross multiply
    2,779.71x = 3,835.92 × 1,660.40
  4. Step 4: Simplify right side
    2,779.71x = 6,369,134.09
  5. Step 5: Solve for x
    x = 6,369,134.09/2,779.71
  6. Step 6: Final answer
    x = 2,291.29

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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.