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Finding the Fourth Proportional to 3,140.63, 4,334.03 and 1,796.23

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Solution

The fourth proportional to 3,140.63, 4,334.03 and 1,796.23 is: 2,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.63 : 4,334.03 = 1,796.23 : x
  2. Step 2: Convert to fraction form
    3,140.63/4,334.03 = 1,796.23/x
  3. Step 3: Cross multiply
    3,140.63x = 4,334.03 × 1,796.23
  4. Step 4: Simplify right side
    3,140.63x = 7,784,914.71
  5. Step 5: Solve for x
    x = 7,784,914.71/3,140.63
  6. Step 6: Final answer
    x = 2,478.77

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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.