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Finding the Fourth Proportional to 1,414.08, 2,119.92 and 591.96

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Solution

The fourth proportional to 1,414.08, 2,119.92 and 591.96 is: 887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.08 : 2,119.92 = 591.96 : x
  2. Step 2: Convert to fraction form
    1,414.08/2,119.92 = 591.96/x
  3. Step 3: Cross multiply
    1,414.08x = 2,119.92 × 591.96
  4. Step 4: Simplify right side
    1,414.08x = 1,254,907.84
  5. Step 5: Solve for x
    x = 1,254,907.84/1,414.08
  6. Step 6: Final answer
    x = 887.44

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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.