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Finding the Fourth Proportional to 1,971.78, 2,958 and 984.64

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Solution

The fourth proportional to 1,971.78, 2,958 and 984.64 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.78 : 2,958 = 984.64 : x
  2. Step 2: Convert to fraction form
    1,971.78/2,958 = 984.64/x
  3. Step 3: Cross multiply
    1,971.78x = 2,958 × 984.64
  4. Step 4: Simplify right side
    1,971.78x = 2,912,565.12
  5. Step 5: Solve for x
    x = 2,912,565.12/1,971.78
  6. Step 6: Final answer
    x = 1,477.12

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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.