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Finding the Fourth Proportional to 2,144.14, 3,211.17 and 1,045.06

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Solution

The fourth proportional to 2,144.14, 3,211.17 and 1,045.06 is: 1,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.14 : 3,211.17 = 1,045.06 : x
  2. Step 2: Convert to fraction form
    2,144.14/3,211.17 = 1,045.06/x
  3. Step 3: Cross multiply
    2,144.14x = 3,211.17 × 1,045.06
  4. Step 4: Simplify right side
    2,144.14x = 3,355,865.32
  5. Step 5: Solve for x
    x = 3,355,865.32/2,144.14
  6. Step 6: Final answer
    x = 1,565.13

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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.