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Finding the Fourth Proportional to 2,013.64, 3,020.55 and 552.81

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Solution

The fourth proportional to 2,013.64, 3,020.55 and 552.81 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.64 : 3,020.55 = 552.81 : x
  2. Step 2: Convert to fraction form
    2,013.64/3,020.55 = 552.81/x
  3. Step 3: Cross multiply
    2,013.64x = 3,020.55 × 552.81
  4. Step 4: Simplify right side
    2,013.64x = 1,669,775.14
  5. Step 5: Solve for x
    x = 1,669,775.14/2,013.64
  6. Step 6: Final answer
    x = 829.23

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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.