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Finding the Fourth Proportional to 3,165.59, 4,751.64 and 2,242.19

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Solution

The fourth proportional to 3,165.59, 4,751.64 and 2,242.19 is: 3,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.59 : 4,751.64 = 2,242.19 : x
  2. Step 2: Convert to fraction form
    3,165.59/4,751.64 = 2,242.19/x
  3. Step 3: Cross multiply
    3,165.59x = 4,751.64 × 2,242.19
  4. Step 4: Simplify right side
    3,165.59x = 10,654,079.69
  5. Step 5: Solve for x
    x = 10,654,079.69/3,165.59
  6. Step 6: Final answer
    x = 3,365.59

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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.