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Finding the Fourth Proportional to 2,401.52, 3,602.28 and 941.09

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Solution

The fourth proportional to 2,401.52, 3,602.28 and 941.09 is: 1,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.52 : 3,602.28 = 941.09 : x
  2. Step 2: Convert to fraction form
    2,401.52/3,602.28 = 941.09/x
  3. Step 3: Cross multiply
    2,401.52x = 3,602.28 × 941.09
  4. Step 4: Simplify right side
    2,401.52x = 3,390,051.67
  5. Step 5: Solve for x
    x = 3,390,051.67/2,401.52
  6. Step 6: Final answer
    x = 1,411.63

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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.