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Finding the Fourth Proportional to 2,060.16, 2,843.04 and 1,232

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Solution

The fourth proportional to 2,060.16, 2,843.04 and 1,232 is: 1,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.16 : 2,843.04 = 1,232 : x
  2. Step 2: Convert to fraction form
    2,060.16/2,843.04 = 1,232/x
  3. Step 3: Cross multiply
    2,060.16x = 2,843.04 × 1,232
  4. Step 4: Simplify right side
    2,060.16x = 3,502,625.28
  5. Step 5: Solve for x
    x = 3,502,625.28/2,060.16
  6. Step 6: Final answer
    x = 1,700.17

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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.