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Finding the Fourth Proportional to 3,033.64, 4,187.14 and 1,929

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Solution

The fourth proportional to 3,033.64, 4,187.14 and 1,929 is: 2,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.64 : 4,187.14 = 1,929 : x
  2. Step 2: Convert to fraction form
    3,033.64/4,187.14 = 1,929/x
  3. Step 3: Cross multiply
    3,033.64x = 4,187.14 × 1,929
  4. Step 4: Simplify right side
    3,033.64x = 8,076,993.06
  5. Step 5: Solve for x
    x = 8,076,993.06/3,033.64
  6. Step 6: Final answer
    x = 2,662.48

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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.