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Finding the Fourth Proportional to 2,401.94, 3,598.65 and 1,100.67

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Solution

The fourth proportional to 2,401.94, 3,598.65 and 1,100.67 is: 1,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.94 : 3,598.65 = 1,100.67 : x
  2. Step 2: Convert to fraction form
    2,401.94/3,598.65 = 1,100.67/x
  3. Step 3: Cross multiply
    2,401.94x = 3,598.65 × 1,100.67
  4. Step 4: Simplify right side
    2,401.94x = 3,960,926.10
  5. Step 5: Solve for x
    x = 3,960,926.10/2,401.94
  6. Step 6: Final answer
    x = 1,649.06

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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.