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Finding the Fourth Proportional to 2,482.37, 3,425.42 and 1,420.41

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Solution

The fourth proportional to 2,482.37, 3,425.42 and 1,420.41 is: 1,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.37 : 3,425.42 = 1,420.41 : x
  2. Step 2: Convert to fraction form
    2,482.37/3,425.42 = 1,420.41/x
  3. Step 3: Cross multiply
    2,482.37x = 3,425.42 × 1,420.41
  4. Step 4: Simplify right side
    2,482.37x = 4,865,493.72
  5. Step 5: Solve for x
    x = 4,865,493.72/2,482.37
  6. Step 6: Final answer
    x = 1,960.02

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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.