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Finding the Fourth Proportional to 2,712.94, 3,744.17 and 1,533.94

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Solution

The fourth proportional to 2,712.94, 3,744.17 and 1,533.94 is: 2,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.94 : 3,744.17 = 1,533.94 : x
  2. Step 2: Convert to fraction form
    2,712.94/3,744.17 = 1,533.94/x
  3. Step 3: Cross multiply
    2,712.94x = 3,744.17 × 1,533.94
  4. Step 4: Simplify right side
    2,712.94x = 5,743,329.48
  5. Step 5: Solve for x
    x = 5,743,329.48/2,712.94
  6. Step 6: Final answer
    x = 2,117.01

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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.