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Finding the Fourth Proportional to 3,133.26, 4,698.81 and 941.40

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Solution

The fourth proportional to 3,133.26, 4,698.81 and 941.40 is: 1,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.26 : 4,698.81 = 941.40 : x
  2. Step 2: Convert to fraction form
    3,133.26/4,698.81 = 941.40/x
  3. Step 3: Cross multiply
    3,133.26x = 4,698.81 × 941.40
  4. Step 4: Simplify right side
    3,133.26x = 4,423,459.73
  5. Step 5: Solve for x
    x = 4,423,459.73/3,133.26
  6. Step 6: Final answer
    x = 1,411.78

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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.