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Finding the Fourth Proportional to 2,645.30, 3,969.57 and 1,002.08

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Solution

The fourth proportional to 2,645.30, 3,969.57 and 1,002.08 is: 1,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.30 : 3,969.57 = 1,002.08 : x
  2. Step 2: Convert to fraction form
    2,645.30/3,969.57 = 1,002.08/x
  3. Step 3: Cross multiply
    2,645.30x = 3,969.57 × 1,002.08
  4. Step 4: Simplify right side
    2,645.30x = 3,977,826.71
  5. Step 5: Solve for x
    x = 3,977,826.71/2,645.30
  6. Step 6: Final answer
    x = 1,503.73

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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.