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Finding the Fourth Proportional to 2,014.90, 3,022.31 and 554

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Solution

The fourth proportional to 2,014.90, 3,022.31 and 554 is: 830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.90 : 3,022.31 = 554 : x
  2. Step 2: Convert to fraction form
    2,014.90/3,022.31 = 554/x
  3. Step 3: Cross multiply
    2,014.90x = 3,022.31 × 554
  4. Step 4: Simplify right side
    2,014.90x = 1,674,359.74
  5. Step 5: Solve for x
    x = 1,674,359.74/2,014.90
  6. Step 6: Final answer
    x = 830.99

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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.