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Finding the Fourth Proportional to 2,095.25, 3,142.53 and 708.56

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Solution

The fourth proportional to 2,095.25, 3,142.53 and 708.56 is: 1,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.25 : 3,142.53 = 708.56 : x
  2. Step 2: Convert to fraction form
    2,095.25/3,142.53 = 708.56/x
  3. Step 3: Cross multiply
    2,095.25x = 3,142.53 × 708.56
  4. Step 4: Simplify right side
    2,095.25x = 2,226,655.34
  5. Step 5: Solve for x
    x = 2,226,655.34/2,095.25
  6. Step 6: Final answer
    x = 1,062.71

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Why These Related Problems?

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