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Finding the Fourth Proportional to 3,145.10, 4,717.17 and 953.57

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Solution

The fourth proportional to 3,145.10, 4,717.17 and 953.57 is: 1,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.10 : 4,717.17 = 953.57 : x
  2. Step 2: Convert to fraction form
    3,145.10/4,717.17 = 953.57/x
  3. Step 3: Cross multiply
    3,145.10x = 4,717.17 × 953.57
  4. Step 4: Simplify right side
    3,145.10x = 4,498,163.59
  5. Step 5: Solve for x
    x = 4,498,163.59/3,145.10
  6. Step 6: Final answer
    x = 1,430.22

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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.