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Finding the Fourth Proportional to 1,603.88, 2,404.14 and 737.48

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Solution

The fourth proportional to 1,603.88, 2,404.14 and 737.48 is: 1,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.88 : 2,404.14 = 737.48 : x
  2. Step 2: Convert to fraction form
    1,603.88/2,404.14 = 737.48/x
  3. Step 3: Cross multiply
    1,603.88x = 2,404.14 × 737.48
  4. Step 4: Simplify right side
    1,603.88x = 1,773,005.17
  5. Step 5: Solve for x
    x = 1,773,005.17/1,603.88
  6. Step 6: Final answer
    x = 1,105.45

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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.