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Finding the Fourth Proportional to 2,914.69, 4,021.07 and 2,031.00

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Solution

The fourth proportional to 2,914.69, 4,021.07 and 2,031.00 is: 2,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.69 : 4,021.07 = 2,031.00 : x
  2. Step 2: Convert to fraction form
    2,914.69/4,021.07 = 2,031.00/x
  3. Step 3: Cross multiply
    2,914.69x = 4,021.07 × 2,031.00
  4. Step 4: Simplify right side
    2,914.69x = 8,166,801.92
  5. Step 5: Solve for x
    x = 8,166,801.92/2,914.69
  6. Step 6: Final answer
    x = 2,801.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.