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Finding the Fourth Proportional to 3,322.54, 4,978.32 and 1,470.88

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Solution

The fourth proportional to 3,322.54, 4,978.32 and 1,470.88 is: 2,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.54 : 4,978.32 = 1,470.88 : x
  2. Step 2: Convert to fraction form
    3,322.54/4,978.32 = 1,470.88/x
  3. Step 3: Cross multiply
    3,322.54x = 4,978.32 × 1,470.88
  4. Step 4: Simplify right side
    3,322.54x = 7,322,511.32
  5. Step 5: Solve for x
    x = 7,322,511.32/3,322.54
  6. Step 6: Final answer
    x = 2,203.89

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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.