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Finding the Fourth Proportional to 2,371.39, 3,557.07 and 984.69

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Solution

The fourth proportional to 2,371.39, 3,557.07 and 984.69 is: 1,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.39 : 3,557.07 = 984.69 : x
  2. Step 2: Convert to fraction form
    2,371.39/3,557.07 = 984.69/x
  3. Step 3: Cross multiply
    2,371.39x = 3,557.07 × 984.69
  4. Step 4: Simplify right side
    2,371.39x = 3,502,611.26
  5. Step 5: Solve for x
    x = 3,502,611.26/2,371.39
  6. Step 6: Final answer
    x = 1,477.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.