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Finding the Fourth Proportional to 1,419.54, 2,129.99 and 735.54

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Solution

The fourth proportional to 1,419.54, 2,129.99 and 735.54 is: 1,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.54 : 2,129.99 = 735.54 : x
  2. Step 2: Convert to fraction form
    1,419.54/2,129.99 = 735.54/x
  3. Step 3: Cross multiply
    1,419.54x = 2,129.99 × 735.54
  4. Step 4: Simplify right side
    1,419.54x = 1,566,692.84
  5. Step 5: Solve for x
    x = 1,566,692.84/1,419.54
  6. Step 6: Final answer
    x = 1,103.66

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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.