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Finding the Fourth Proportional to 3,130.26, 4,695.39 and 938.94

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Solution

The fourth proportional to 3,130.26, 4,695.39 and 938.94 is: 1,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.26 : 4,695.39 = 938.94 : x
  2. Step 2: Convert to fraction form
    3,130.26/4,695.39 = 938.94/x
  3. Step 3: Cross multiply
    3,130.26x = 4,695.39 × 938.94
  4. Step 4: Simplify right side
    3,130.26x = 4,408,689.49
  5. Step 5: Solve for x
    x = 4,408,689.49/3,130.26
  6. Step 6: Final answer
    x = 1,408.41

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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.