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Finding the Fourth Proportional to 1,605.91, 2,216.17 and 942.77

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Solution

The fourth proportional to 1,605.91, 2,216.17 and 942.77 is: 1,301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.91 : 2,216.17 = 942.77 : x
  2. Step 2: Convert to fraction form
    1,605.91/2,216.17 = 942.77/x
  3. Step 3: Cross multiply
    1,605.91x = 2,216.17 × 942.77
  4. Step 4: Simplify right side
    1,605.91x = 2,089,331.11
  5. Step 5: Solve for x
    x = 2,089,331.11/1,605.91
  6. Step 6: Final answer
    x = 1,301.03

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Why These Related Problems?

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