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Finding the Fourth Proportional to 4,095.95, 6,144.79 and 1,322.84

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Solution

The fourth proportional to 4,095.95, 6,144.79 and 1,322.84 is: 1,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.95 : 6,144.79 = 1,322.84 : x
  2. Step 2: Convert to fraction form
    4,095.95/6,144.79 = 1,322.84/x
  3. Step 3: Cross multiply
    4,095.95x = 6,144.79 × 1,322.84
  4. Step 4: Simplify right side
    4,095.95x = 8,128,544.85
  5. Step 5: Solve for x
    x = 8,128,544.85/4,095.95
  6. Step 6: Final answer
    x = 1,984.53

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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.