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Finding the Fourth Proportional to 3,016.35, 4,522.91 and 935.46

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Solution

The fourth proportional to 3,016.35, 4,522.91 and 935.46 is: 1,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.35 : 4,522.91 = 935.46 : x
  2. Step 2: Convert to fraction form
    3,016.35/4,522.91 = 935.46/x
  3. Step 3: Cross multiply
    3,016.35x = 4,522.91 × 935.46
  4. Step 4: Simplify right side
    3,016.35x = 4,230,996.71
  5. Step 5: Solve for x
    x = 4,230,996.71/3,016.35
  6. Step 6: Final answer
    x = 1,402.69

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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.