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Finding the Fourth Proportional to 3,186.60, 4,779.98 and 1,542.84

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Solution

The fourth proportional to 3,186.60, 4,779.98 and 1,542.84 is: 2,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.60 : 4,779.98 = 1,542.84 : x
  2. Step 2: Convert to fraction form
    3,186.60/4,779.98 = 1,542.84/x
  3. Step 3: Cross multiply
    3,186.60x = 4,779.98 × 1,542.84
  4. Step 4: Simplify right side
    3,186.60x = 7,374,744.34
  5. Step 5: Solve for x
    x = 7,374,744.34/3,186.60
  6. Step 6: Final answer
    x = 2,314.30

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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.