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Finding the Fourth Proportional to 2,584.74, 3,877.10 and 805.83

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Solution

The fourth proportional to 2,584.74, 3,877.10 and 805.83 is: 1,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.74 : 3,877.10 = 805.83 : x
  2. Step 2: Convert to fraction form
    2,584.74/3,877.10 = 805.83/x
  3. Step 3: Cross multiply
    2,584.74x = 3,877.10 × 805.83
  4. Step 4: Simplify right side
    2,584.74x = 3,124,283.49
  5. Step 5: Solve for x
    x = 3,124,283.49/2,584.74
  6. Step 6: Final answer
    x = 1,208.74

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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.