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Finding the Fourth Proportional to 4,185.64, 6,280.90 and 1,555

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Solution

The fourth proportional to 4,185.64, 6,280.90 and 1,555 is: 2,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.64 : 6,280.90 = 1,555 : x
  2. Step 2: Convert to fraction form
    4,185.64/6,280.90 = 1,555/x
  3. Step 3: Cross multiply
    4,185.64x = 6,280.90 × 1,555
  4. Step 4: Simplify right side
    4,185.64x = 9,766,799.50
  5. Step 5: Solve for x
    x = 9,766,799.50/4,185.64
  6. Step 6: Final answer
    x = 2,333.41

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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.