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Finding the Fourth Proportional to 2,095.83, 3,143.68 and 709.15

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Solution

The fourth proportional to 2,095.83, 3,143.68 and 709.15 is: 1,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.83 : 3,143.68 = 709.15 : x
  2. Step 2: Convert to fraction form
    2,095.83/3,143.68 = 709.15/x
  3. Step 3: Cross multiply
    2,095.83x = 3,143.68 × 709.15
  4. Step 4: Simplify right side
    2,095.83x = 2,229,340.67
  5. Step 5: Solve for x
    x = 2,229,340.67/2,095.83
  6. Step 6: Final answer
    x = 1,063.70

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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.