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Finding the Fourth Proportional to 1,419.03, 2,128.41 and 494.42

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Solution

The fourth proportional to 1,419.03, 2,128.41 and 494.42 is: 741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.03 : 2,128.41 = 494.42 : x
  2. Step 2: Convert to fraction form
    1,419.03/2,128.41 = 494.42/x
  3. Step 3: Cross multiply
    1,419.03x = 2,128.41 × 494.42
  4. Step 4: Simplify right side
    1,419.03x = 1,052,317.83
  5. Step 5: Solve for x
    x = 1,052,317.83/1,419.03
  6. Step 6: Final answer
    x = 741.58

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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.