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Finding the Fourth Proportional to 2,179.94, 3,269.85 and 947.36

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Solution

The fourth proportional to 2,179.94, 3,269.85 and 947.36 is: 1,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.94 : 3,269.85 = 947.36 : x
  2. Step 2: Convert to fraction form
    2,179.94/3,269.85 = 947.36/x
  3. Step 3: Cross multiply
    2,179.94x = 3,269.85 × 947.36
  4. Step 4: Simplify right side
    2,179.94x = 3,097,707.00
  5. Step 5: Solve for x
    x = 3,097,707.00/2,179.94
  6. Step 6: Final answer
    x = 1,421.00

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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.