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Finding the Fourth Proportional to 2,427.79, 3,641.93 and 966.60

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Solution

The fourth proportional to 2,427.79, 3,641.93 and 966.60 is: 1,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.79 : 3,641.93 = 966.60 : x
  2. Step 2: Convert to fraction form
    2,427.79/3,641.93 = 966.60/x
  3. Step 3: Cross multiply
    2,427.79x = 3,641.93 × 966.60
  4. Step 4: Simplify right side
    2,427.79x = 3,520,289.54
  5. Step 5: Solve for x
    x = 3,520,289.54/2,427.79
  6. Step 6: Final answer
    x = 1,450.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.