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Finding the Fourth Proportional to 2,940.37, 4,411.79 and 1,830.71

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Solution

The fourth proportional to 2,940.37, 4,411.79 and 1,830.71 is: 2,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.37 : 4,411.79 = 1,830.71 : x
  2. Step 2: Convert to fraction form
    2,940.37/4,411.79 = 1,830.71/x
  3. Step 3: Cross multiply
    2,940.37x = 4,411.79 × 1,830.71
  4. Step 4: Simplify right side
    2,940.37x = 8,076,716.81
  5. Step 5: Solve for x
    x = 8,076,716.81/2,940.37
  6. Step 6: Final answer
    x = 2,746.84

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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.