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Finding the Fourth Proportional to 2,146.42, 2,960.04 and 1,705.78

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Solution

The fourth proportional to 2,146.42, 2,960.04 and 1,705.78 is: 2,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.42 : 2,960.04 = 1,705.78 : x
  2. Step 2: Convert to fraction form
    2,146.42/2,960.04 = 1,705.78/x
  3. Step 3: Cross multiply
    2,146.42x = 2,960.04 × 1,705.78
  4. Step 4: Simplify right side
    2,146.42x = 5,049,177.03
  5. Step 5: Solve for x
    x = 5,049,177.03/2,146.42
  6. Step 6: Final answer
    x = 2,352.37

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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.