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Finding the Fourth Proportional to 1,330.20, 1,995.30 and 941.40

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Solution

The fourth proportional to 1,330.20, 1,995.30 and 941.40 is: 1,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.20 : 1,995.30 = 941.40 : x
  2. Step 2: Convert to fraction form
    1,330.20/1,995.30 = 941.40/x
  3. Step 3: Cross multiply
    1,330.20x = 1,995.30 × 941.40
  4. Step 4: Simplify right side
    1,330.20x = 1,878,375.42
  5. Step 5: Solve for x
    x = 1,878,375.42/1,330.20
  6. Step 6: Final answer
    x = 1,412.10

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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.