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Finding the Fourth Proportional to 2,684.17, 4,027.04 and 952.93

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Solution

The fourth proportional to 2,684.17, 4,027.04 and 952.93 is: 1,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.17 : 4,027.04 = 952.93 : x
  2. Step 2: Convert to fraction form
    2,684.17/4,027.04 = 952.93/x
  3. Step 3: Cross multiply
    2,684.17x = 4,027.04 × 952.93
  4. Step 4: Simplify right side
    2,684.17x = 3,837,487.23
  5. Step 5: Solve for x
    x = 3,837,487.23/2,684.17
  6. Step 6: Final answer
    x = 1,429.67

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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.