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Finding the Fourth Proportional to 1,393.15, 2,090.07 and 983.09

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Solution

The fourth proportional to 1,393.15, 2,090.07 and 983.09 is: 1,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.15 : 2,090.07 = 983.09 : x
  2. Step 2: Convert to fraction form
    1,393.15/2,090.07 = 983.09/x
  3. Step 3: Cross multiply
    1,393.15x = 2,090.07 × 983.09
  4. Step 4: Simplify right side
    1,393.15x = 2,054,714.62
  5. Step 5: Solve for x
    x = 2,054,714.62/1,393.15
  6. Step 6: Final answer
    x = 1,474.87

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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.