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Finding the Fourth Proportional to 1,973.04, 2,727.72 and 1,726.80

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Solution

The fourth proportional to 1,973.04, 2,727.72 and 1,726.80 is: 2,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.04 : 2,727.72 = 1,726.80 : x
  2. Step 2: Convert to fraction form
    1,973.04/2,727.72 = 1,726.80/x
  3. Step 3: Cross multiply
    1,973.04x = 2,727.72 × 1,726.80
  4. Step 4: Simplify right side
    1,973.04x = 4,710,226.90
  5. Step 5: Solve for x
    x = 4,710,226.90/1,973.04
  6. Step 6: Final answer
    x = 2,387.29

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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.