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Finding the Fourth Proportional to 2,603.53, 3,904.62 and 754.21

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Solution

The fourth proportional to 2,603.53, 3,904.62 and 754.21 is: 1,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.53 : 3,904.62 = 754.21 : x
  2. Step 2: Convert to fraction form
    2,603.53/3,904.62 = 754.21/x
  3. Step 3: Cross multiply
    2,603.53x = 3,904.62 × 754.21
  4. Step 4: Simplify right side
    2,603.53x = 2,944,903.45
  5. Step 5: Solve for x
    x = 2,944,903.45/2,603.53
  6. Step 6: Final answer
    x = 1,131.12

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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.