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Finding the Fourth Proportional to 2,483.96, 3,726.45 and 1,023.21

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Solution

The fourth proportional to 2,483.96, 3,726.45 and 1,023.21 is: 1,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.96 : 3,726.45 = 1,023.21 : x
  2. Step 2: Convert to fraction form
    2,483.96/3,726.45 = 1,023.21/x
  3. Step 3: Cross multiply
    2,483.96x = 3,726.45 × 1,023.21
  4. Step 4: Simplify right side
    2,483.96x = 3,812,940.90
  5. Step 5: Solve for x
    x = 3,812,940.90/2,483.96
  6. Step 6: Final answer
    x = 1,535.03

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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.