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Finding the Fourth Proportional to 2,013.77, 3,020.34 and 553.03

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Solution

The fourth proportional to 2,013.77, 3,020.34 and 553.03 is: 829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.77 : 3,020.34 = 553.03 : x
  2. Step 2: Convert to fraction form
    2,013.77/3,020.34 = 553.03/x
  3. Step 3: Cross multiply
    2,013.77x = 3,020.34 × 553.03
  4. Step 4: Simplify right side
    2,013.77x = 1,670,338.63
  5. Step 5: Solve for x
    x = 1,670,338.63/2,013.77
  6. Step 6: Final answer
    x = 829.46

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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.