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Finding the Fourth Proportional to 2,388.35, 3,582.09 and 656.96

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Solution

The fourth proportional to 2,388.35, 3,582.09 and 656.96 is: 985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.35 : 3,582.09 = 656.96 : x
  2. Step 2: Convert to fraction form
    2,388.35/3,582.09 = 656.96/x
  3. Step 3: Cross multiply
    2,388.35x = 3,582.09 × 656.96
  4. Step 4: Simplify right side
    2,388.35x = 2,353,289.85
  5. Step 5: Solve for x
    x = 2,353,289.85/2,388.35
  6. Step 6: Final answer
    x = 985.32

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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.