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Finding the Fourth Proportional to 4,601.70, 6,902.61 and 1,314.90

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Solution

The fourth proportional to 4,601.70, 6,902.61 and 1,314.90 is: 1,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.70 : 6,902.61 = 1,314.90 : x
  2. Step 2: Convert to fraction form
    4,601.70/6,902.61 = 1,314.90/x
  3. Step 3: Cross multiply
    4,601.70x = 6,902.61 × 1,314.90
  4. Step 4: Simplify right side
    4,601.70x = 9,076,241.89
  5. Step 5: Solve for x
    x = 9,076,241.89/4,601.70
  6. Step 6: Final answer
    x = 1,972.37

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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.