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Finding the Fourth Proportional to 2,014.92, 3,022.04 and 554.20

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Solution

The fourth proportional to 2,014.92, 3,022.04 and 554.20 is: 831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.92 : 3,022.04 = 554.20 : x
  2. Step 2: Convert to fraction form
    2,014.92/3,022.04 = 554.20/x
  3. Step 3: Cross multiply
    2,014.92x = 3,022.04 × 554.20
  4. Step 4: Simplify right side
    2,014.92x = 1,674,814.57
  5. Step 5: Solve for x
    x = 1,674,814.57/2,014.92
  6. Step 6: Final answer
    x = 831.21

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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.