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Finding the Fourth Proportional to 2,402.54, 3,603.56 and 759.10

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Solution

The fourth proportional to 2,402.54, 3,603.56 and 759.10 is: 1,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.54 : 3,603.56 = 759.10 : x
  2. Step 2: Convert to fraction form
    2,402.54/3,603.56 = 759.10/x
  3. Step 3: Cross multiply
    2,402.54x = 3,603.56 × 759.10
  4. Step 4: Simplify right side
    2,402.54x = 2,735,440.58
  5. Step 5: Solve for x
    x = 2,735,440.58/2,402.54
  6. Step 6: Final answer
    x = 1,138.56

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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.