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Finding the Fourth Proportional to 3,014.54, 4,522.31 and 934.05

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Solution

The fourth proportional to 3,014.54, 4,522.31 and 934.05 is: 1,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.54 : 4,522.31 = 934.05 : x
  2. Step 2: Convert to fraction form
    3,014.54/4,522.31 = 934.05/x
  3. Step 3: Cross multiply
    3,014.54x = 4,522.31 × 934.05
  4. Step 4: Simplify right side
    3,014.54x = 4,224,063.66
  5. Step 5: Solve for x
    x = 4,224,063.66/3,014.54
  6. Step 6: Final answer
    x = 1,401.23

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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.