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Finding the Fourth Proportional to 2,371.70, 3,558.47 and 984.69

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Solution

The fourth proportional to 2,371.70, 3,558.47 and 984.69 is: 1,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.70 : 3,558.47 = 984.69 : x
  2. Step 2: Convert to fraction form
    2,371.70/3,558.47 = 984.69/x
  3. Step 3: Cross multiply
    2,371.70x = 3,558.47 × 984.69
  4. Step 4: Simplify right side
    2,371.70x = 3,503,984.90
  5. Step 5: Solve for x
    x = 3,503,984.90/2,371.70
  6. Step 6: Final answer
    x = 1,477.42

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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.