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Finding the Fourth Proportional to 3,019.87, 4,529.57 and 1,071.82

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Solution

The fourth proportional to 3,019.87, 4,529.57 and 1,071.82 is: 1,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.87 : 4,529.57 = 1,071.82 : x
  2. Step 2: Convert to fraction form
    3,019.87/4,529.57 = 1,071.82/x
  3. Step 3: Cross multiply
    3,019.87x = 4,529.57 × 1,071.82
  4. Step 4: Simplify right side
    3,019.87x = 4,854,878.36
  5. Step 5: Solve for x
    x = 4,854,878.36/3,019.87
  6. Step 6: Final answer
    x = 1,607.64

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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.