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Finding the Fourth Proportional to 2,584.76, 3,874.95 and 940.35

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Solution

The fourth proportional to 2,584.76, 3,874.95 and 940.35 is: 1,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.76 : 3,874.95 = 940.35 : x
  2. Step 2: Convert to fraction form
    2,584.76/3,874.95 = 940.35/x
  3. Step 3: Cross multiply
    2,584.76x = 3,874.95 × 940.35
  4. Step 4: Simplify right side
    2,584.76x = 3,643,809.23
  5. Step 5: Solve for x
    x = 3,643,809.23/2,584.76
  6. Step 6: Final answer
    x = 1,409.73

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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.