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Finding the Fourth Proportional to 3,194.41, 4,792.34 and 973.44

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Solution

The fourth proportional to 3,194.41, 4,792.34 and 973.44 is: 1,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.41 : 4,792.34 = 973.44 : x
  2. Step 2: Convert to fraction form
    3,194.41/4,792.34 = 973.44/x
  3. Step 3: Cross multiply
    3,194.41x = 4,792.34 × 973.44
  4. Step 4: Simplify right side
    3,194.41x = 4,665,050.58
  5. Step 5: Solve for x
    x = 4,665,050.58/3,194.41
  6. Step 6: Final answer
    x = 1,460.38

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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.