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Finding the Fourth Proportional to 3,142.80, 4,707.80 and 2,523.14

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Solution

The fourth proportional to 3,142.80, 4,707.80 and 2,523.14 is: 3,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.80 : 4,707.80 = 2,523.14 : x
  2. Step 2: Convert to fraction form
    3,142.80/4,707.80 = 2,523.14/x
  3. Step 3: Cross multiply
    3,142.80x = 4,707.80 × 2,523.14
  4. Step 4: Simplify right side
    3,142.80x = 11,878,438.49
  5. Step 5: Solve for x
    x = 11,878,438.49/3,142.80
  6. Step 6: Final answer
    x = 3,779.57

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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.