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Finding the Fourth Proportional to 2,584.96, 3,877.44 and 1,854.88

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Solution

The fourth proportional to 2,584.96, 3,877.44 and 1,854.88 is: 2,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.96 : 3,877.44 = 1,854.88 : x
  2. Step 2: Convert to fraction form
    2,584.96/3,877.44 = 1,854.88/x
  3. Step 3: Cross multiply
    2,584.96x = 3,877.44 × 1,854.88
  4. Step 4: Simplify right side
    2,584.96x = 7,192,185.91
  5. Step 5: Solve for x
    x = 7,192,185.91/2,584.96
  6. Step 6: Final answer
    x = 2,782.32

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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.