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Finding the Fourth Proportional to 1,964.52, 2,928.99 and 1,914

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Solution

The fourth proportional to 1,964.52, 2,928.99 and 1,914 is: 2,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.52 : 2,928.99 = 1,914 : x
  2. Step 2: Convert to fraction form
    1,964.52/2,928.99 = 1,914/x
  3. Step 3: Cross multiply
    1,964.52x = 2,928.99 × 1,914
  4. Step 4: Simplify right side
    1,964.52x = 5,606,086.86
  5. Step 5: Solve for x
    x = 5,606,086.86/1,964.52
  6. Step 6: Final answer
    x = 2,853.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.