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Finding the Fourth Proportional to 1,600.45, 2,400.28 and 613.06

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Solution

The fourth proportional to 1,600.45, 2,400.28 and 613.06 is: 919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.45 : 2,400.28 = 613.06 : x
  2. Step 2: Convert to fraction form
    1,600.45/2,400.28 = 613.06/x
  3. Step 3: Cross multiply
    1,600.45x = 2,400.28 × 613.06
  4. Step 4: Simplify right side
    1,600.45x = 1,471,515.66
  5. Step 5: Solve for x
    x = 1,471,515.66/1,600.45
  6. Step 6: Final answer
    x = 919.44

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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.