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Finding the Fourth Proportional to 2,607.52, 3,911.68 and 941.52

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Solution

The fourth proportional to 2,607.52, 3,911.68 and 941.52 is: 1,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.52 : 3,911.68 = 941.52 : x
  2. Step 2: Convert to fraction form
    2,607.52/3,911.68 = 941.52/x
  3. Step 3: Cross multiply
    2,607.52x = 3,911.68 × 941.52
  4. Step 4: Simplify right side
    2,607.52x = 3,682,924.95
  5. Step 5: Solve for x
    x = 3,682,924.95/2,607.52
  6. Step 6: Final answer
    x = 1,412.42

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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.