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Finding the Fourth Proportional to 2,606.35, 3,909.18 and 940.30

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Solution

The fourth proportional to 2,606.35, 3,909.18 and 940.30 is: 1,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.35 : 3,909.18 = 940.30 : x
  2. Step 2: Convert to fraction form
    2,606.35/3,909.18 = 940.30/x
  3. Step 3: Cross multiply
    2,606.35x = 3,909.18 × 940.30
  4. Step 4: Simplify right side
    2,606.35x = 3,675,783.93
  5. Step 5: Solve for x
    x = 3,675,783.93/2,606.35
  6. Step 6: Final answer
    x = 1,410.32

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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.