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Finding the Fourth Proportional to 2,699.09, 3,726.47 and 2,202.92

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Solution

The fourth proportional to 2,699.09, 3,726.47 and 2,202.92 is: 3,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.09 : 3,726.47 = 2,202.92 : x
  2. Step 2: Convert to fraction form
    2,699.09/3,726.47 = 2,202.92/x
  3. Step 3: Cross multiply
    2,699.09x = 3,726.47 × 2,202.92
  4. Step 4: Simplify right side
    2,699.09x = 8,209,116.14
  5. Step 5: Solve for x
    x = 8,209,116.14/2,699.09
  6. Step 6: Final answer
    x = 3,041.43

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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.