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Finding the Fourth Proportional to 4,192.94, 6,290.30 and 1,419.48

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Solution

The fourth proportional to 4,192.94, 6,290.30 and 1,419.48 is: 2,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.94 : 6,290.30 = 1,419.48 : x
  2. Step 2: Convert to fraction form
    4,192.94/6,290.30 = 1,419.48/x
  3. Step 3: Cross multiply
    4,192.94x = 6,290.30 × 1,419.48
  4. Step 4: Simplify right side
    4,192.94x = 8,928,955.04
  5. Step 5: Solve for x
    x = 8,928,955.04/4,192.94
  6. Step 6: Final answer
    x = 2,129.52

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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.