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Finding the Fourth Proportional to 1,395.56, 2,090.94 and 983.96

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Solution

The fourth proportional to 1,395.56, 2,090.94 and 983.96 is: 1,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.56 : 2,090.94 = 983.96 : x
  2. Step 2: Convert to fraction form
    1,395.56/2,090.94 = 983.96/x
  3. Step 3: Cross multiply
    1,395.56x = 2,090.94 × 983.96
  4. Step 4: Simplify right side
    1,395.56x = 2,057,401.32
  5. Step 5: Solve for x
    x = 2,057,401.32/1,395.56
  6. Step 6: Final answer
    x = 1,474.25

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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.