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Finding the Fourth Proportional to 1,973.62, 2,722.65 and 1,265.11

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Solution

The fourth proportional to 1,973.62, 2,722.65 and 1,265.11 is: 1,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.62 : 2,722.65 = 1,265.11 : x
  2. Step 2: Convert to fraction form
    1,973.62/2,722.65 = 1,265.11/x
  3. Step 3: Cross multiply
    1,973.62x = 2,722.65 × 1,265.11
  4. Step 4: Simplify right side
    1,973.62x = 3,444,451.74
  5. Step 5: Solve for x
    x = 3,444,451.74/1,973.62
  6. Step 6: Final answer
    x = 1,745.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.