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Finding the Fourth Proportional to 2,063.02, 3,095.07 and 1,138.42

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Solution

The fourth proportional to 2,063.02, 3,095.07 and 1,138.42 is: 1,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.02 : 3,095.07 = 1,138.42 : x
  2. Step 2: Convert to fraction form
    2,063.02/3,095.07 = 1,138.42/x
  3. Step 3: Cross multiply
    2,063.02x = 3,095.07 × 1,138.42
  4. Step 4: Simplify right side
    2,063.02x = 3,523,489.59
  5. Step 5: Solve for x
    x = 3,523,489.59/2,063.02
  6. Step 6: Final answer
    x = 1,707.93

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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.