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Finding the Fourth Proportional to 1,588.24, 2,383.85 and 858.39

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Solution

The fourth proportional to 1,588.24, 2,383.85 and 858.39 is: 1,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.24 : 2,383.85 = 858.39 : x
  2. Step 2: Convert to fraction form
    1,588.24/2,383.85 = 858.39/x
  3. Step 3: Cross multiply
    1,588.24x = 2,383.85 × 858.39
  4. Step 4: Simplify right side
    1,588.24x = 2,046,273.00
  5. Step 5: Solve for x
    x = 2,046,273.00/1,588.24
  6. Step 6: Final answer
    x = 1,288.39

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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.