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Finding the Fourth Proportional to 2,776.94, 3,833.30 and 1,893.64

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Solution

The fourth proportional to 2,776.94, 3,833.30 and 1,893.64 is: 2,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.94 : 3,833.30 = 1,893.64 : x
  2. Step 2: Convert to fraction form
    2,776.94/3,833.30 = 1,893.64/x
  3. Step 3: Cross multiply
    2,776.94x = 3,833.30 × 1,893.64
  4. Step 4: Simplify right side
    2,776.94x = 7,258,890.21
  5. Step 5: Solve for x
    x = 7,258,890.21/2,776.94
  6. Step 6: Final answer
    x = 2,613.99

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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.