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Finding the Fourth Proportional to 2,095.68, 3,138.73 and 1,000.82

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Solution

The fourth proportional to 2,095.68, 3,138.73 and 1,000.82 is: 1,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.68 : 3,138.73 = 1,000.82 : x
  2. Step 2: Convert to fraction form
    2,095.68/3,138.73 = 1,000.82/x
  3. Step 3: Cross multiply
    2,095.68x = 3,138.73 × 1,000.82
  4. Step 4: Simplify right side
    2,095.68x = 3,141,303.76
  5. Step 5: Solve for x
    x = 3,141,303.76/2,095.68
  6. Step 6: Final answer
    x = 1,498.94

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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.