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Finding the Fourth Proportional to 3,053.06, 4,213.23 and 1,726.64

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Solution

The fourth proportional to 3,053.06, 4,213.23 and 1,726.64 is: 2,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.06 : 4,213.23 = 1,726.64 : x
  2. Step 2: Convert to fraction form
    3,053.06/4,213.23 = 1,726.64/x
  3. Step 3: Cross multiply
    3,053.06x = 4,213.23 × 1,726.64
  4. Step 4: Simplify right side
    3,053.06x = 7,274,731.45
  5. Step 5: Solve for x
    x = 7,274,731.45/3,053.06
  6. Step 6: Final answer
    x = 2,382.77

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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.