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Finding the Fourth Proportional to 2,012.74, 3,018.81 and 552.01

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Solution

The fourth proportional to 2,012.74, 3,018.81 and 552.01 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.74 : 3,018.81 = 552.01 : x
  2. Step 2: Convert to fraction form
    2,012.74/3,018.81 = 552.01/x
  3. Step 3: Cross multiply
    2,012.74x = 3,018.81 × 552.01
  4. Step 4: Simplify right side
    2,012.74x = 1,666,398.21
  5. Step 5: Solve for x
    x = 1,666,398.21/2,012.74
  6. Step 6: Final answer
    x = 827.93

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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.