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Finding the Fourth Proportional to 1,376.20, 1,900.02 and 984.52

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Solution

The fourth proportional to 1,376.20, 1,900.02 and 984.52 is: 1,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.20 : 1,900.02 = 984.52 : x
  2. Step 2: Convert to fraction form
    1,376.20/1,900.02 = 984.52/x
  3. Step 3: Cross multiply
    1,376.20x = 1,900.02 × 984.52
  4. Step 4: Simplify right side
    1,376.20x = 1,870,607.69
  5. Step 5: Solve for x
    x = 1,870,607.69/1,376.20
  6. Step 6: Final answer
    x = 1,359.26

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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.