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Finding the Fourth Proportional to 4,650.91, 6,974.64 and 1,530

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Solution

The fourth proportional to 4,650.91, 6,974.64 and 1,530 is: 2,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.91 : 6,974.64 = 1,530 : x
  2. Step 2: Convert to fraction form
    4,650.91/6,974.64 = 1,530/x
  3. Step 3: Cross multiply
    4,650.91x = 6,974.64 × 1,530
  4. Step 4: Simplify right side
    4,650.91x = 10,671,199.20
  5. Step 5: Solve for x
    x = 10,671,199.20/4,650.91
  6. Step 6: Final answer
    x = 2,294.43

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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.