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Finding the Fourth Proportional to 2,547.87, 3,821.19 and 1,622.04

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Solution

The fourth proportional to 2,547.87, 3,821.19 and 1,622.04 is: 2,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.87 : 3,821.19 = 1,622.04 : x
  2. Step 2: Convert to fraction form
    2,547.87/3,821.19 = 1,622.04/x
  3. Step 3: Cross multiply
    2,547.87x = 3,821.19 × 1,622.04
  4. Step 4: Simplify right side
    2,547.87x = 6,198,123.03
  5. Step 5: Solve for x
    x = 6,198,123.03/2,547.87
  6. Step 6: Final answer
    x = 2,432.67

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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.