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Finding the Fourth Proportional to 3,318.66, 4,978.00 and 1,344.32

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Solution

The fourth proportional to 3,318.66, 4,978.00 and 1,344.32 is: 2,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.66 : 4,978.00 = 1,344.32 : x
  2. Step 2: Convert to fraction form
    3,318.66/4,978.00 = 1,344.32/x
  3. Step 3: Cross multiply
    3,318.66x = 4,978.00 × 1,344.32
  4. Step 4: Simplify right side
    3,318.66x = 6,692,045.90
  5. Step 5: Solve for x
    x = 6,692,045.90/3,318.66
  6. Step 6: Final answer
    x = 2,016.49

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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.