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Finding the Fourth Proportional to 2,365.77, 3,549.96 and 1,067.13

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Solution

The fourth proportional to 2,365.77, 3,549.96 and 1,067.13 is: 1,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.77 : 3,549.96 = 1,067.13 : x
  2. Step 2: Convert to fraction form
    2,365.77/3,549.96 = 1,067.13/x
  3. Step 3: Cross multiply
    2,365.77x = 3,549.96 × 1,067.13
  4. Step 4: Simplify right side
    2,365.77x = 3,788,268.81
  5. Step 5: Solve for x
    x = 3,788,268.81/2,365.77
  6. Step 6: Final answer
    x = 1,601.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.