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Finding the Fourth Proportional to 3,134.72, 4,701.52 and 1,186.96

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Solution

The fourth proportional to 3,134.72, 4,701.52 and 1,186.96 is: 1,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.72 : 4,701.52 = 1,186.96 : x
  2. Step 2: Convert to fraction form
    3,134.72/4,701.52 = 1,186.96/x
  3. Step 3: Cross multiply
    3,134.72x = 4,701.52 × 1,186.96
  4. Step 4: Simplify right side
    3,134.72x = 5,580,516.18
  5. Step 5: Solve for x
    x = 5,580,516.18/3,134.72
  6. Step 6: Final answer
    x = 1,780.23

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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.