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Finding the Fourth Proportional to 2,095.34, 3,142.67 and 708.65

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Solution

The fourth proportional to 2,095.34, 3,142.67 and 708.65 is: 1,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.34 : 3,142.67 = 708.65 : x
  2. Step 2: Convert to fraction form
    2,095.34/3,142.67 = 708.65/x
  3. Step 3: Cross multiply
    2,095.34x = 3,142.67 × 708.65
  4. Step 4: Simplify right side
    2,095.34x = 2,227,062.72
  5. Step 5: Solve for x
    x = 2,227,062.72/2,095.34
  6. Step 6: Final answer
    x = 1,062.86

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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.