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Finding the Fourth Proportional to 1,726.72, 2,594.94 and 1,682.98

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Solution

The fourth proportional to 1,726.72, 2,594.94 and 1,682.98 is: 2,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.72 : 2,594.94 = 1,682.98 : x
  2. Step 2: Convert to fraction form
    1,726.72/2,594.94 = 1,682.98/x
  3. Step 3: Cross multiply
    1,726.72x = 2,594.94 × 1,682.98
  4. Step 4: Simplify right side
    1,726.72x = 4,367,232.12
  5. Step 5: Solve for x
    x = 4,367,232.12/1,726.72
  6. Step 6: Final answer
    x = 2,529.21

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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.