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Finding the Fourth Proportional to 2,663.47, 3,992.50 and 1,274.77

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Solution

The fourth proportional to 2,663.47, 3,992.50 and 1,274.77 is: 1,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.47 : 3,992.50 = 1,274.77 : x
  2. Step 2: Convert to fraction form
    2,663.47/3,992.50 = 1,274.77/x
  3. Step 3: Cross multiply
    2,663.47x = 3,992.50 × 1,274.77
  4. Step 4: Simplify right side
    2,663.47x = 5,089,492.89
  5. Step 5: Solve for x
    x = 5,089,492.89/2,663.47
  6. Step 6: Final answer
    x = 1,910.85

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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.