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Finding the Fourth Proportional to 1,415.38, 2,119.08 and 797.98

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Solution

The fourth proportional to 1,415.38, 2,119.08 and 797.98 is: 1,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.38 : 2,119.08 = 797.98 : x
  2. Step 2: Convert to fraction form
    1,415.38/2,119.08 = 797.98/x
  3. Step 3: Cross multiply
    1,415.38x = 2,119.08 × 797.98
  4. Step 4: Simplify right side
    1,415.38x = 1,690,983.46
  5. Step 5: Solve for x
    x = 1,690,983.46/1,415.38
  6. Step 6: Final answer
    x = 1,194.72

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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.