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Finding the Fourth Proportional to 2,605.06, 3,594.92 and 1,426.06

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Solution

The fourth proportional to 2,605.06, 3,594.92 and 1,426.06 is: 1,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.06 : 3,594.92 = 1,426.06 : x
  2. Step 2: Convert to fraction form
    2,605.06/3,594.92 = 1,426.06/x
  3. Step 3: Cross multiply
    2,605.06x = 3,594.92 × 1,426.06
  4. Step 4: Simplify right side
    2,605.06x = 5,126,571.62
  5. Step 5: Solve for x
    x = 5,126,571.62/2,605.06
  6. Step 6: Final answer
    x = 1,967.93

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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.