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Finding the Fourth Proportional to 1,600.30, 2,396.72 and 1,544.87

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Solution

The fourth proportional to 1,600.30, 2,396.72 and 1,544.87 is: 2,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.30 : 2,396.72 = 1,544.87 : x
  2. Step 2: Convert to fraction form
    1,600.30/2,396.72 = 1,544.87/x
  3. Step 3: Cross multiply
    1,600.30x = 2,396.72 × 1,544.87
  4. Step 4: Simplify right side
    1,600.30x = 3,702,620.83
  5. Step 5: Solve for x
    x = 3,702,620.83/1,600.30
  6. Step 6: Final answer
    x = 2,313.70

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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.