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Finding the Fourth Proportional to 2,846.43, 4,267.76 and 1,384.74

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Solution

The fourth proportional to 2,846.43, 4,267.76 and 1,384.74 is: 2,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.43 : 4,267.76 = 1,384.74 : x
  2. Step 2: Convert to fraction form
    2,846.43/4,267.76 = 1,384.74/x
  3. Step 3: Cross multiply
    2,846.43x = 4,267.76 × 1,384.74
  4. Step 4: Simplify right side
    2,846.43x = 5,909,731.06
  5. Step 5: Solve for x
    x = 5,909,731.06/2,846.43
  6. Step 6: Final answer
    x = 2,076.19

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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.