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Finding the Fourth Proportional to 1,973.97, 2,724.10 and 1,089.75

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Solution

The fourth proportional to 1,973.97, 2,724.10 and 1,089.75 is: 1,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.97 : 2,724.10 = 1,089.75 : x
  2. Step 2: Convert to fraction form
    1,973.97/2,724.10 = 1,089.75/x
  3. Step 3: Cross multiply
    1,973.97x = 2,724.10 × 1,089.75
  4. Step 4: Simplify right side
    1,973.97x = 2,968,595.47
  5. Step 5: Solve for x
    x = 2,968,595.47/1,973.97
  6. Step 6: Final answer
    x = 1,503.87

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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.