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Finding the Fourth Proportional to 3,106.59, 4,659.90 and 766.67

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Solution

The fourth proportional to 3,106.59, 4,659.90 and 766.67 is: 1,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.59 : 4,659.90 = 766.67 : x
  2. Step 2: Convert to fraction form
    3,106.59/4,659.90 = 766.67/x
  3. Step 3: Cross multiply
    3,106.59x = 4,659.90 × 766.67
  4. Step 4: Simplify right side
    3,106.59x = 3,572,582.23
  5. Step 5: Solve for x
    x = 3,572,582.23/3,106.59
  6. Step 6: Final answer
    x = 1,150.00

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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.