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Finding the Fourth Proportional to 3,154.98, 4,735.40 and 1,596.10

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Solution

The fourth proportional to 3,154.98, 4,735.40 and 1,596.10 is: 2,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.98 : 4,735.40 = 1,596.10 : x
  2. Step 2: Convert to fraction form
    3,154.98/4,735.40 = 1,596.10/x
  3. Step 3: Cross multiply
    3,154.98x = 4,735.40 × 1,596.10
  4. Step 4: Simplify right side
    3,154.98x = 7,558,171.94
  5. Step 5: Solve for x
    x = 7,558,171.94/3,154.98
  6. Step 6: Final answer
    x = 2,395.63

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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.