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Finding the Fourth Proportional to 2,402.54, 3,604.24 and 1,655.20

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Solution

The fourth proportional to 2,402.54, 3,604.24 and 1,655.20 is: 2,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.54 : 3,604.24 = 1,655.20 : x
  2. Step 2: Convert to fraction form
    2,402.54/3,604.24 = 1,655.20/x
  3. Step 3: Cross multiply
    2,402.54x = 3,604.24 × 1,655.20
  4. Step 4: Simplify right side
    2,402.54x = 5,965,738.05
  5. Step 5: Solve for x
    x = 5,965,738.05/2,402.54
  6. Step 6: Final answer
    x = 2,483.10

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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.