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Finding the Fourth Proportional to 3,124.89, 4,685.51 and 1,823.63

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Solution

The fourth proportional to 3,124.89, 4,685.51 and 1,823.63 is: 2,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.89 : 4,685.51 = 1,823.63 : x
  2. Step 2: Convert to fraction form
    3,124.89/4,685.51 = 1,823.63/x
  3. Step 3: Cross multiply
    3,124.89x = 4,685.51 × 1,823.63
  4. Step 4: Simplify right side
    3,124.89x = 8,544,617.73
  5. Step 5: Solve for x
    x = 8,544,617.73/3,124.89
  6. Step 6: Final answer
    x = 2,734.37

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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.