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Finding the Fourth Proportional to 4,520.70, 6,782.40 and 2,331

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Solution

The fourth proportional to 4,520.70, 6,782.40 and 2,331 is: 3,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.70 : 6,782.40 = 2,331 : x
  2. Step 2: Convert to fraction form
    4,520.70/6,782.40 = 2,331/x
  3. Step 3: Cross multiply
    4,520.70x = 6,782.40 × 2,331
  4. Step 4: Simplify right side
    4,520.70x = 15,809,774.40
  5. Step 5: Solve for x
    x = 15,809,774.40/4,520.70
  6. Step 6: Final answer
    x = 3,497.20

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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.