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Finding the Fourth Proportional to 2,605.76, 3,596.07 and 1,426.92

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Solution

The fourth proportional to 2,605.76, 3,596.07 and 1,426.92 is: 1,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.76 : 3,596.07 = 1,426.92 : x
  2. Step 2: Convert to fraction form
    2,605.76/3,596.07 = 1,426.92/x
  3. Step 3: Cross multiply
    2,605.76x = 3,596.07 × 1,426.92
  4. Step 4: Simplify right side
    2,605.76x = 5,131,304.20
  5. Step 5: Solve for x
    x = 5,131,304.20/2,605.76
  6. Step 6: Final answer
    x = 1,969.22

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1.5x scale

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.