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Finding the Fourth Proportional to 2,905.35, 4,009.97 and 1,726.19

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Solution

The fourth proportional to 2,905.35, 4,009.97 and 1,726.19 is: 2,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.35 : 4,009.97 = 1,726.19 : x
  2. Step 2: Convert to fraction form
    2,905.35/4,009.97 = 1,726.19/x
  3. Step 3: Cross multiply
    2,905.35x = 4,009.97 × 1,726.19
  4. Step 4: Simplify right side
    2,905.35x = 6,921,941.43
  5. Step 5: Solve for x
    x = 6,921,941.43/2,905.35
  6. Step 6: Final answer
    x = 2,382.48

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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.