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Finding the Fourth Proportional to 2,656.23, 3,668.25 and 2,188.76

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Solution

The fourth proportional to 2,656.23, 3,668.25 and 2,188.76 is: 3,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.23 : 3,668.25 = 2,188.76 : x
  2. Step 2: Convert to fraction form
    2,656.23/3,668.25 = 2,188.76/x
  3. Step 3: Cross multiply
    2,656.23x = 3,668.25 × 2,188.76
  4. Step 4: Simplify right side
    2,656.23x = 8,028,929.37
  5. Step 5: Solve for x
    x = 8,028,929.37/2,656.23
  6. Step 6: Final answer
    x = 3,022.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.