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Finding the Fourth Proportional to 3,134.25, 4,699.95 and 1,492.78

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Solution

The fourth proportional to 3,134.25, 4,699.95 and 1,492.78 is: 2,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.25 : 4,699.95 = 1,492.78 : x
  2. Step 2: Convert to fraction form
    3,134.25/4,699.95 = 1,492.78/x
  3. Step 3: Cross multiply
    3,134.25x = 4,699.95 × 1,492.78
  4. Step 4: Simplify right side
    3,134.25x = 7,015,991.36
  5. Step 5: Solve for x
    x = 7,015,991.36/3,134.25
  6. Step 6: Final answer
    x = 2,238.49

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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.