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Finding the Fourth Proportional to 2,390.46, 3,584.21 and 928.41

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Solution

The fourth proportional to 2,390.46, 3,584.21 and 928.41 is: 1,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.46 : 3,584.21 = 928.41 : x
  2. Step 2: Convert to fraction form
    2,390.46/3,584.21 = 928.41/x
  3. Step 3: Cross multiply
    2,390.46x = 3,584.21 × 928.41
  4. Step 4: Simplify right side
    2,390.46x = 3,327,611.76
  5. Step 5: Solve for x
    x = 3,327,611.76/2,390.46
  6. Step 6: Final answer
    x = 1,392.04

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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.