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Finding the Fourth Proportional to 2,095.83, 3,141.59 and 708.71

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Solution

The fourth proportional to 2,095.83, 3,141.59 and 708.71 is: 1,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.83 : 3,141.59 = 708.71 : x
  2. Step 2: Convert to fraction form
    2,095.83/3,141.59 = 708.71/x
  3. Step 3: Cross multiply
    2,095.83x = 3,141.59 × 708.71
  4. Step 4: Simplify right side
    2,095.83x = 2,226,457.00
  5. Step 5: Solve for x
    x = 2,226,457.00/2,095.83
  6. Step 6: Final answer
    x = 1,062.33

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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.