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Finding the Fourth Proportional to 2,846.45, 3,925.54 and 2,428.31

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Solution

The fourth proportional to 2,846.45, 3,925.54 and 2,428.31 is: 3,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.45 : 3,925.54 = 2,428.31 : x
  2. Step 2: Convert to fraction form
    2,846.45/3,925.54 = 2,428.31/x
  3. Step 3: Cross multiply
    2,846.45x = 3,925.54 × 2,428.31
  4. Step 4: Simplify right side
    2,846.45x = 9,532,428.04
  5. Step 5: Solve for x
    x = 9,532,428.04/2,846.45
  6. Step 6: Final answer
    x = 3,348.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.