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Finding the Fourth Proportional to 2,781.77, 3,839.03 and 1,602.92

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Solution

The fourth proportional to 2,781.77, 3,839.03 and 1,602.92 is: 2,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.77 : 3,839.03 = 1,602.92 : x
  2. Step 2: Convert to fraction form
    2,781.77/3,839.03 = 1,602.92/x
  3. Step 3: Cross multiply
    2,781.77x = 3,839.03 × 1,602.92
  4. Step 4: Simplify right side
    2,781.77x = 6,153,643.97
  5. Step 5: Solve for x
    x = 6,153,643.97/2,781.77
  6. Step 6: Final answer
    x = 2,212.13

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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.