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Finding the Fourth Proportional to 2,086.13, 3,128.96 and 624.94

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Solution

The fourth proportional to 2,086.13, 3,128.96 and 624.94 is: 937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.13 : 3,128.96 = 624.94 : x
  2. Step 2: Convert to fraction form
    2,086.13/3,128.96 = 624.94/x
  3. Step 3: Cross multiply
    2,086.13x = 3,128.96 × 624.94
  4. Step 4: Simplify right side
    2,086.13x = 1,955,406.00
  5. Step 5: Solve for x
    x = 1,955,406.00/2,086.13
  6. Step 6: Final answer
    x = 937.34

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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.