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Finding the Fourth Proportional to 3,181.77, 4,390.61 and 1,784.25

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Solution

The fourth proportional to 3,181.77, 4,390.61 and 1,784.25 is: 2,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.77 : 4,390.61 = 1,784.25 : x
  2. Step 2: Convert to fraction form
    3,181.77/4,390.61 = 1,784.25/x
  3. Step 3: Cross multiply
    3,181.77x = 4,390.61 × 1,784.25
  4. Step 4: Simplify right side
    3,181.77x = 7,833,936.97
  5. Step 5: Solve for x
    x = 7,833,936.97/3,181.77
  6. Step 6: Final answer
    x = 2,462.13

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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.