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Finding the Fourth Proportional to 2,779.31, 3,835.45 and 1,600.61

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Solution

The fourth proportional to 2,779.31, 3,835.45 and 1,600.61 is: 2,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.31 : 3,835.45 = 1,600.61 : x
  2. Step 2: Convert to fraction form
    2,779.31/3,835.45 = 1,600.61/x
  3. Step 3: Cross multiply
    2,779.31x = 3,835.45 × 1,600.61
  4. Step 4: Simplify right side
    2,779.31x = 6,139,064.02
  5. Step 5: Solve for x
    x = 6,139,064.02/2,779.31
  6. Step 6: Final answer
    x = 2,208.84

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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.