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Finding the Fourth Proportional to 3,106.79, 4,662.01 and 1,159.15

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Solution

The fourth proportional to 3,106.79, 4,662.01 and 1,159.15 is: 1,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.79 : 4,662.01 = 1,159.15 : x
  2. Step 2: Convert to fraction form
    3,106.79/4,662.01 = 1,159.15/x
  3. Step 3: Cross multiply
    3,106.79x = 4,662.01 × 1,159.15
  4. Step 4: Simplify right side
    3,106.79x = 5,403,958.69
  5. Step 5: Solve for x
    x = 5,403,958.69/3,106.79
  6. Step 6: Final answer
    x = 1,739.40

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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.