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Finding the Fourth Proportional to 3,296.70, 4,945.80 and 988.14

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Solution

The fourth proportional to 3,296.70, 4,945.80 and 988.14 is: 1,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.70 : 4,945.80 = 988.14 : x
  2. Step 2: Convert to fraction form
    3,296.70/4,945.80 = 988.14/x
  3. Step 3: Cross multiply
    3,296.70x = 4,945.80 × 988.14
  4. Step 4: Simplify right side
    3,296.70x = 4,887,142.81
  5. Step 5: Solve for x
    x = 4,887,142.81/3,296.70
  6. Step 6: Final answer
    x = 1,482.43

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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.