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Finding the Fourth Proportional to 2,605.56, 3,904.22 and 1,781

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Solution

The fourth proportional to 2,605.56, 3,904.22 and 1,781 is: 2,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.56 : 3,904.22 = 1,781 : x
  2. Step 2: Convert to fraction form
    2,605.56/3,904.22 = 1,781/x
  3. Step 3: Cross multiply
    2,605.56x = 3,904.22 × 1,781
  4. Step 4: Simplify right side
    2,605.56x = 6,953,415.82
  5. Step 5: Solve for x
    x = 6,953,415.82/2,605.56
  6. Step 6: Final answer
    x = 2,668.68

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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.