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Finding the Fourth Proportional to 3,104.90, 4,652.98 and 1,543.42

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Solution

The fourth proportional to 3,104.90, 4,652.98 and 1,543.42 is: 2,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.90 : 4,652.98 = 1,543.42 : x
  2. Step 2: Convert to fraction form
    3,104.90/4,652.98 = 1,543.42/x
  3. Step 3: Cross multiply
    3,104.90x = 4,652.98 × 1,543.42
  4. Step 4: Simplify right side
    3,104.90x = 7,181,504.35
  5. Step 5: Solve for x
    x = 7,181,504.35/3,104.90
  6. Step 6: Final answer
    x = 2,312.96

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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.