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Finding the Fourth Proportional to 1,934.47, 2,902.22 and 1,111.27

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Solution

The fourth proportional to 1,934.47, 2,902.22 and 1,111.27 is: 1,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.47 : 2,902.22 = 1,111.27 : x
  2. Step 2: Convert to fraction form
    1,934.47/2,902.22 = 1,111.27/x
  3. Step 3: Cross multiply
    1,934.47x = 2,902.22 × 1,111.27
  4. Step 4: Simplify right side
    1,934.47x = 3,225,145.25
  5. Step 5: Solve for x
    x = 3,225,145.25/1,934.47
  6. Step 6: Final answer
    x = 1,667.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.