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Finding the Fourth Proportional to 4,331.70, 6,492.36 and 1,697.56

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Solution

The fourth proportional to 4,331.70, 6,492.36 and 1,697.56 is: 2,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.70 : 6,492.36 = 1,697.56 : x
  2. Step 2: Convert to fraction form
    4,331.70/6,492.36 = 1,697.56/x
  3. Step 3: Cross multiply
    4,331.70x = 6,492.36 × 1,697.56
  4. Step 4: Simplify right side
    4,331.70x = 11,021,166.40
  5. Step 5: Solve for x
    x = 11,021,166.40/4,331.70
  6. Step 6: Final answer
    x = 2,544.31

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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.