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Finding the Fourth Proportional to 2,371.60, 3,557.40 and 640.22

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Solution

The fourth proportional to 2,371.60, 3,557.40 and 640.22 is: 960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.60 : 3,557.40 = 640.22 : x
  2. Step 2: Convert to fraction form
    2,371.60/3,557.40 = 640.22/x
  3. Step 3: Cross multiply
    2,371.60x = 3,557.40 × 640.22
  4. Step 4: Simplify right side
    2,371.60x = 2,277,518.63
  5. Step 5: Solve for x
    x = 2,277,518.63/2,371.60
  6. Step 6: Final answer
    x = 960.33

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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.