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Finding the Fourth Proportional to 1,394.82, 2,089.29 and 931.10

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Solution

The fourth proportional to 1,394.82, 2,089.29 and 931.10 is: 1,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.82 : 2,089.29 = 931.10 : x
  2. Step 2: Convert to fraction form
    1,394.82/2,089.29 = 931.10/x
  3. Step 3: Cross multiply
    1,394.82x = 2,089.29 × 931.10
  4. Step 4: Simplify right side
    1,394.82x = 1,945,330.96
  5. Step 5: Solve for x
    x = 1,945,330.96/1,394.82
  6. Step 6: Final answer
    x = 1,394.68

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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.