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Finding the Fourth Proportional to 2,978.02, 4,468.11 and 1,515.97

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Solution

The fourth proportional to 2,978.02, 4,468.11 and 1,515.97 is: 2,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.02 : 4,468.11 = 1,515.97 : x
  2. Step 2: Convert to fraction form
    2,978.02/4,468.11 = 1,515.97/x
  3. Step 3: Cross multiply
    2,978.02x = 4,468.11 × 1,515.97
  4. Step 4: Simplify right side
    2,978.02x = 6,773,520.72
  5. Step 5: Solve for x
    x = 6,773,520.72/2,978.02
  6. Step 6: Final answer
    x = 2,274.50

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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.