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Finding the Fourth Proportional to 4,272.93, 6,409.41 and 1,194.93

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Solution

The fourth proportional to 4,272.93, 6,409.41 and 1,194.93 is: 1,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.93 : 6,409.41 = 1,194.93 : x
  2. Step 2: Convert to fraction form
    4,272.93/6,409.41 = 1,194.93/x
  3. Step 3: Cross multiply
    4,272.93x = 6,409.41 × 1,194.93
  4. Step 4: Simplify right side
    4,272.93x = 7,658,796.29
  5. Step 5: Solve for x
    x = 7,658,796.29/4,272.93
  6. Step 6: Final answer
    x = 1,792.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.