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Finding the Fourth Proportional to 1,588.20, 2,383.20 and 614.37

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Solution

The fourth proportional to 1,588.20, 2,383.20 and 614.37 is: 921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.20 : 2,383.20 = 614.37 : x
  2. Step 2: Convert to fraction form
    1,588.20/2,383.20 = 614.37/x
  3. Step 3: Cross multiply
    1,588.20x = 2,383.20 × 614.37
  4. Step 4: Simplify right side
    1,588.20x = 1,464,166.58
  5. Step 5: Solve for x
    x = 1,464,166.58/1,588.20
  6. Step 6: Final answer
    x = 921.90

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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.