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Finding the Fourth Proportional to 1,504.00, 2,241.24 and 1,454.39

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Solution

The fourth proportional to 1,504.00, 2,241.24 and 1,454.39 is: 2,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.00 : 2,241.24 = 1,454.39 : x
  2. Step 2: Convert to fraction form
    1,504.00/2,241.24 = 1,454.39/x
  3. Step 3: Cross multiply
    1,504.00x = 2,241.24 × 1,454.39
  4. Step 4: Simplify right side
    1,504.00x = 3,259,628.79
  5. Step 5: Solve for x
    x = 3,259,628.79/1,504.00
  6. Step 6: Final answer
    x = 2,167.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.