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Finding the Fourth Proportional to 1,726.82, 2,573.57 and 1,724.08

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Solution

The fourth proportional to 1,726.82, 2,573.57 and 1,724.08 is: 2,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.82 : 2,573.57 = 1,724.08 : x
  2. Step 2: Convert to fraction form
    1,726.82/2,573.57 = 1,724.08/x
  3. Step 3: Cross multiply
    1,726.82x = 2,573.57 × 1,724.08
  4. Step 4: Simplify right side
    1,726.82x = 4,437,027.70
  5. Step 5: Solve for x
    x = 4,437,027.70/1,726.82
  6. Step 6: Final answer
    x = 2,569.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.