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Finding the Fourth Proportional to 1,646.87, 2,469.08 and 824.72

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Solution

The fourth proportional to 1,646.87, 2,469.08 and 824.72 is: 1,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.87 : 2,469.08 = 824.72 : x
  2. Step 2: Convert to fraction form
    1,646.87/2,469.08 = 824.72/x
  3. Step 3: Cross multiply
    1,646.87x = 2,469.08 × 824.72
  4. Step 4: Simplify right side
    1,646.87x = 2,036,289.37
  5. Step 5: Solve for x
    x = 2,036,289.37/1,646.87
  6. Step 6: Final answer
    x = 1,236.46

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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.