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Finding the Fourth Proportional to 3,463.88, 5,192.64 and 1,270.94

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Solution

The fourth proportional to 3,463.88, 5,192.64 and 1,270.94 is: 1,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.88 : 5,192.64 = 1,270.94 : x
  2. Step 2: Convert to fraction form
    3,463.88/5,192.64 = 1,270.94/x
  3. Step 3: Cross multiply
    3,463.88x = 5,192.64 × 1,270.94
  4. Step 4: Simplify right side
    3,463.88x = 6,599,507.92
  5. Step 5: Solve for x
    x = 6,599,507.92/3,463.88
  6. Step 6: Final answer
    x = 1,905.24

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1.5x scale

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.