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Finding the Fourth Proportional to 2,014.64, 3,022.07 and 553.91

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Solution

The fourth proportional to 2,014.64, 3,022.07 and 553.91 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.64 : 3,022.07 = 553.91 : x
  2. Step 2: Convert to fraction form
    2,014.64/3,022.07 = 553.91/x
  3. Step 3: Cross multiply
    2,014.64x = 3,022.07 × 553.91
  4. Step 4: Simplify right side
    2,014.64x = 1,673,936.91
  5. Step 5: Solve for x
    x = 1,673,936.91/2,014.64
  6. Step 6: Final answer
    x = 830.89

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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.