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Finding the Fourth Proportional to 2,812.47, 4,214.23 and 1,884.61

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Solution

The fourth proportional to 2,812.47, 4,214.23 and 1,884.61 is: 2,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.47 : 4,214.23 = 1,884.61 : x
  2. Step 2: Convert to fraction form
    2,812.47/4,214.23 = 1,884.61/x
  3. Step 3: Cross multiply
    2,812.47x = 4,214.23 × 1,884.61
  4. Step 4: Simplify right side
    2,812.47x = 7,942,180.00
  5. Step 5: Solve for x
    x = 7,942,180.00/2,812.47
  6. Step 6: Final answer
    x = 2,823.92

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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.