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Finding the Fourth Proportional to 3,296.50, 4,945.56 and 988

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Solution

The fourth proportional to 3,296.50, 4,945.56 and 988 is: 1,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.50 : 4,945.56 = 988 : x
  2. Step 2: Convert to fraction form
    3,296.50/4,945.56 = 988/x
  3. Step 3: Cross multiply
    3,296.50x = 4,945.56 × 988
  4. Step 4: Simplify right side
    3,296.50x = 4,886,213.28
  5. Step 5: Solve for x
    x = 4,886,213.28/3,296.50
  6. Step 6: Final answer
    x = 1,482.24

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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.