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Finding the Fourth Proportional to 2,095.30, 3,141.66 and 708.51

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Solution

The fourth proportional to 2,095.30, 3,141.66 and 708.51 is: 1,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.30 : 3,141.66 = 708.51 : x
  2. Step 2: Convert to fraction form
    2,095.30/3,141.66 = 708.51/x
  3. Step 3: Cross multiply
    2,095.30x = 3,141.66 × 708.51
  4. Step 4: Simplify right side
    2,095.30x = 2,225,897.53
  5. Step 5: Solve for x
    x = 2,225,897.53/2,095.30
  6. Step 6: Final answer
    x = 1,062.33

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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.