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Finding the Fourth Proportional to 1,376.45, 1,900.37 and 984.77

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Solution

The fourth proportional to 1,376.45, 1,900.37 and 984.77 is: 1,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.45 : 1,900.37 = 984.77 : x
  2. Step 2: Convert to fraction form
    1,376.45/1,900.37 = 984.77/x
  3. Step 3: Cross multiply
    1,376.45x = 1,900.37 × 984.77
  4. Step 4: Simplify right side
    1,376.45x = 1,871,422.44
  5. Step 5: Solve for x
    x = 1,871,422.44/1,376.45
  6. Step 6: Final answer
    x = 1,359.60

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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.