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Finding the Fourth Proportional to 3,338.02, 4,606.50 and 1,922.01

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Solution

The fourth proportional to 3,338.02, 4,606.50 and 1,922.01 is: 2,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.02 : 4,606.50 = 1,922.01 : x
  2. Step 2: Convert to fraction form
    3,338.02/4,606.50 = 1,922.01/x
  3. Step 3: Cross multiply
    3,338.02x = 4,606.50 × 1,922.01
  4. Step 4: Simplify right side
    3,338.02x = 8,853,739.07
  5. Step 5: Solve for x
    x = 8,853,739.07/3,338.02
  6. Step 6: Final answer
    x = 2,652.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.