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Finding the Fourth Proportional to 2,605.92, 3,596.25 and 1,427.07

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Solution

The fourth proportional to 2,605.92, 3,596.25 and 1,427.07 is: 1,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.92 : 3,596.25 = 1,427.07 : x
  2. Step 2: Convert to fraction form
    2,605.92/3,596.25 = 1,427.07/x
  3. Step 3: Cross multiply
    2,605.92x = 3,596.25 × 1,427.07
  4. Step 4: Simplify right side
    2,605.92x = 5,132,091.07
  5. Step 5: Solve for x
    x = 5,132,091.07/2,605.92
  6. Step 6: Final answer
    x = 1,969.40

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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.