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Finding the Fourth Proportional to 2,404.48, 3,585.23 and 2,401.24

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Solution

The fourth proportional to 2,404.48, 3,585.23 and 2,401.24 is: 3,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.48 : 3,585.23 = 2,401.24 : x
  2. Step 2: Convert to fraction form
    2,404.48/3,585.23 = 2,401.24/x
  3. Step 3: Cross multiply
    2,404.48x = 3,585.23 × 2,401.24
  4. Step 4: Simplify right side
    2,404.48x = 8,608,997.69
  5. Step 5: Solve for x
    x = 8,608,997.69/2,404.48
  6. Step 6: Final answer
    x = 3,580.40

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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.