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Finding the Fourth Proportional to 3,147.82, 4,717.69 and 1,300.23

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Solution

The fourth proportional to 3,147.82, 4,717.69 and 1,300.23 is: 1,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.82 : 4,717.69 = 1,300.23 : x
  2. Step 2: Convert to fraction form
    3,147.82/4,717.69 = 1,300.23/x
  3. Step 3: Cross multiply
    3,147.82x = 4,717.69 × 1,300.23
  4. Step 4: Simplify right side
    3,147.82x = 6,134,082.07
  5. Step 5: Solve for x
    x = 6,134,082.07/3,147.82
  6. Step 6: Final answer
    x = 1,948.68

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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.