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Finding the Fourth Proportional to 2,401.61, 3,604.04 and 940.58

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Solution

The fourth proportional to 2,401.61, 3,604.04 and 940.58 is: 1,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.61 : 3,604.04 = 940.58 : x
  2. Step 2: Convert to fraction form
    2,401.61/3,604.04 = 940.58/x
  3. Step 3: Cross multiply
    2,401.61x = 3,604.04 × 940.58
  4. Step 4: Simplify right side
    2,401.61x = 3,389,883.24
  5. Step 5: Solve for x
    x = 3,389,883.24/2,401.61
  6. Step 6: Final answer
    x = 1,411.50

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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.