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Finding the Fourth Proportional to 1,973.68, 2,726.07 and 1,737.82

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Solution

The fourth proportional to 1,973.68, 2,726.07 and 1,737.82 is: 2,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.68 : 2,726.07 = 1,737.82 : x
  2. Step 2: Convert to fraction form
    1,973.68/2,726.07 = 1,737.82/x
  3. Step 3: Cross multiply
    1,973.68x = 2,726.07 × 1,737.82
  4. Step 4: Simplify right side
    1,973.68x = 4,737,418.97
  5. Step 5: Solve for x
    x = 4,737,418.97/1,973.68
  6. Step 6: Final answer
    x = 2,400.30

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1.5x scale

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.