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Finding the Fourth Proportional to 2,391.21, 3,584.21 and 1,005.30

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Solution

The fourth proportional to 2,391.21, 3,584.21 and 1,005.30 is: 1,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.21 : 3,584.21 = 1,005.30 : x
  2. Step 2: Convert to fraction form
    2,391.21/3,584.21 = 1,005.30/x
  3. Step 3: Cross multiply
    2,391.21x = 3,584.21 × 1,005.30
  4. Step 4: Simplify right side
    2,391.21x = 3,603,201.29
  5. Step 5: Solve for x
    x = 3,603,201.29/2,391.21
  6. Step 6: Final answer
    x = 1,506.85

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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.