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Finding the Fourth Proportional to 1,603.21, 2,404.81 and 781.26

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Solution

The fourth proportional to 1,603.21, 2,404.81 and 781.26 is: 1,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.21 : 2,404.81 = 781.26 : x
  2. Step 2: Convert to fraction form
    1,603.21/2,404.81 = 781.26/x
  3. Step 3: Cross multiply
    1,603.21x = 2,404.81 × 781.26
  4. Step 4: Simplify right side
    1,603.21x = 1,878,781.86
  5. Step 5: Solve for x
    x = 1,878,781.86/1,603.21
  6. Step 6: Final answer
    x = 1,171.89

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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.