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Finding the Fourth Proportional to 3,130.14, 4,695.03 and 938.91

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Solution

The fourth proportional to 3,130.14, 4,695.03 and 938.91 is: 1,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.14 : 4,695.03 = 938.91 : x
  2. Step 2: Convert to fraction form
    3,130.14/4,695.03 = 938.91/x
  3. Step 3: Cross multiply
    3,130.14x = 4,695.03 × 938.91
  4. Step 4: Simplify right side
    3,130.14x = 4,408,210.62
  5. Step 5: Solve for x
    x = 4,408,210.62/3,130.14
  6. Step 6: Final answer
    x = 1,408.31

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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.