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Finding the Fourth Proportional to 3,099.39, 4,648.71 and 1,019.41

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Solution

The fourth proportional to 3,099.39, 4,648.71 and 1,019.41 is: 1,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.39 : 4,648.71 = 1,019.41 : x
  2. Step 2: Convert to fraction form
    3,099.39/4,648.71 = 1,019.41/x
  3. Step 3: Cross multiply
    3,099.39x = 4,648.71 × 1,019.41
  4. Step 4: Simplify right side
    3,099.39x = 4,738,941.46
  5. Step 5: Solve for x
    x = 4,738,941.46/3,099.39
  6. Step 6: Final answer
    x = 1,528.99

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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.