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Finding the Fourth Proportional to 3,146.07, 4,715.87 and 1,684.83

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Solution

The fourth proportional to 3,146.07, 4,715.87 and 1,684.83 is: 2,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.07 : 4,715.87 = 1,684.83 : x
  2. Step 2: Convert to fraction form
    3,146.07/4,715.87 = 1,684.83/x
  3. Step 3: Cross multiply
    3,146.07x = 4,715.87 × 1,684.83
  4. Step 4: Simplify right side
    3,146.07x = 7,945,430.83
  5. Step 5: Solve for x
    x = 7,945,430.83/3,146.07
  6. Step 6: Final answer
    x = 2,525.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.