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Finding the Fourth Proportional to 2,122.81, 2,929.49 and 1,191.25

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Solution

The fourth proportional to 2,122.81, 2,929.49 and 1,191.25 is: 1,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.81 : 2,929.49 = 1,191.25 : x
  2. Step 2: Convert to fraction form
    2,122.81/2,929.49 = 1,191.25/x
  3. Step 3: Cross multiply
    2,122.81x = 2,929.49 × 1,191.25
  4. Step 4: Simplify right side
    2,122.81x = 3,489,754.96
  5. Step 5: Solve for x
    x = 3,489,754.96/2,122.81
  6. Step 6: Final answer
    x = 1,643.93

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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.