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Finding the Fourth Proportional to 2,533.72, 3,491.76 and 2,029

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Solution

The fourth proportional to 2,533.72, 3,491.76 and 2,029 is: 2,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.72 : 3,491.76 = 2,029 : x
  2. Step 2: Convert to fraction form
    2,533.72/3,491.76 = 2,029/x
  3. Step 3: Cross multiply
    2,533.72x = 3,491.76 × 2,029
  4. Step 4: Simplify right side
    2,533.72x = 7,084,781.04
  5. Step 5: Solve for x
    x = 7,084,781.04/2,533.72
  6. Step 6: Final answer
    x = 2,796.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.