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Finding the Fourth Proportional to 3,184.47, 4,779.54 and 1,704.90

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Solution

The fourth proportional to 3,184.47, 4,779.54 and 1,704.90 is: 2,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.47 : 4,779.54 = 1,704.90 : x
  2. Step 2: Convert to fraction form
    3,184.47/4,779.54 = 1,704.90/x
  3. Step 3: Cross multiply
    3,184.47x = 4,779.54 × 1,704.90
  4. Step 4: Simplify right side
    3,184.47x = 8,148,637.75
  5. Step 5: Solve for x
    x = 8,148,637.75/3,184.47
  6. Step 6: Final answer
    x = 2,558.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.