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Finding the Fourth Proportional to 3,134.62, 4,701.93 and 1,596.70

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Solution

The fourth proportional to 3,134.62, 4,701.93 and 1,596.70 is: 2,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.62 : 4,701.93 = 1,596.70 : x
  2. Step 2: Convert to fraction form
    3,134.62/4,701.93 = 1,596.70/x
  3. Step 3: Cross multiply
    3,134.62x = 4,701.93 × 1,596.70
  4. Step 4: Simplify right side
    3,134.62x = 7,507,571.63
  5. Step 5: Solve for x
    x = 7,507,571.63/3,134.62
  6. Step 6: Final answer
    x = 2,395.05

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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.