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Finding the Fourth Proportional to 2,402.60, 3,603.59 and 759.00

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Solution

The fourth proportional to 2,402.60, 3,603.59 and 759.00 is: 1,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.60 : 3,603.59 = 759.00 : x
  2. Step 2: Convert to fraction form
    2,402.60/3,603.59 = 759.00/x
  3. Step 3: Cross multiply
    2,402.60x = 3,603.59 × 759.00
  4. Step 4: Simplify right side
    2,402.60x = 2,735,137.37
  5. Step 5: Solve for x
    x = 2,735,137.37/2,402.60
  6. Step 6: Final answer
    x = 1,138.41

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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.