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Finding the Fourth Proportional to 3,102.42, 4,652.91 and 1,853.39

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Solution

The fourth proportional to 3,102.42, 4,652.91 and 1,853.39 is: 2,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.42 : 4,652.91 = 1,853.39 : x
  2. Step 2: Convert to fraction form
    3,102.42/4,652.91 = 1,853.39/x
  3. Step 3: Cross multiply
    3,102.42x = 4,652.91 × 1,853.39
  4. Step 4: Simplify right side
    3,102.42x = 8,623,633.60
  5. Step 5: Solve for x
    x = 8,623,633.60/3,102.42
  6. Step 6: Final answer
    x = 2,779.65

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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.