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Finding the Fourth Proportional to 3,019.25, 4,529.28 and 1,288.28

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Solution

The fourth proportional to 3,019.25, 4,529.28 and 1,288.28 is: 1,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.25 : 4,529.28 = 1,288.28 : x
  2. Step 2: Convert to fraction form
    3,019.25/4,529.28 = 1,288.28/x
  3. Step 3: Cross multiply
    3,019.25x = 4,529.28 × 1,288.28
  4. Step 4: Simplify right side
    3,019.25x = 5,834,980.84
  5. Step 5: Solve for x
    x = 5,834,980.84/3,019.25
  6. Step 6: Final answer
    x = 1,932.59

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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.