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Finding the Fourth Proportional to 2,492.20, 3,730.92 and 1,845.82

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Solution

The fourth proportional to 2,492.20, 3,730.92 and 1,845.82 is: 2,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.20 : 3,730.92 = 1,845.82 : x
  2. Step 2: Convert to fraction form
    2,492.20/3,730.92 = 1,845.82/x
  3. Step 3: Cross multiply
    2,492.20x = 3,730.92 × 1,845.82
  4. Step 4: Simplify right side
    2,492.20x = 6,886,606.75
  5. Step 5: Solve for x
    x = 6,886,606.75/2,492.20
  6. Step 6: Final answer
    x = 2,763.26

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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.