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Finding the Fourth Proportional to 1,333.47, 1,996.70 and 941.35

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Solution

The fourth proportional to 1,333.47, 1,996.70 and 941.35 is: 1,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.47 : 1,996.70 = 941.35 : x
  2. Step 2: Convert to fraction form
    1,333.47/1,996.70 = 941.35/x
  3. Step 3: Cross multiply
    1,333.47x = 1,996.70 × 941.35
  4. Step 4: Simplify right side
    1,333.47x = 1,879,593.55
  5. Step 5: Solve for x
    x = 1,879,593.55/1,333.47
  6. Step 6: Final answer
    x = 1,409.55

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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.