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Finding the Fourth Proportional to 1,378.50, 1,896.75 and 1,330.62

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Solution

The fourth proportional to 1,378.50, 1,896.75 and 1,330.62 is: 1,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.50 : 1,896.75 = 1,330.62 : x
  2. Step 2: Convert to fraction form
    1,378.50/1,896.75 = 1,330.62/x
  3. Step 3: Cross multiply
    1,378.50x = 1,896.75 × 1,330.62
  4. Step 4: Simplify right side
    1,378.50x = 2,523,853.49
  5. Step 5: Solve for x
    x = 2,523,853.49/1,378.50
  6. Step 6: Final answer
    x = 1,830.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.