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Finding the Fourth Proportional to 2,726.75, 3,762.92 and 1,484.75

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Solution

The fourth proportional to 2,726.75, 3,762.92 and 1,484.75 is: 2,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.75 : 3,762.92 = 1,484.75 : x
  2. Step 2: Convert to fraction form
    2,726.75/3,762.92 = 1,484.75/x
  3. Step 3: Cross multiply
    2,726.75x = 3,762.92 × 1,484.75
  4. Step 4: Simplify right side
    2,726.75x = 5,586,995.47
  5. Step 5: Solve for x
    x = 5,586,995.47/2,726.75
  6. Step 6: Final answer
    x = 2,048.96

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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.