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Finding the Fourth Proportional to 4,305.32, 6,456.72 and 1,964

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Solution

The fourth proportional to 4,305.32, 6,456.72 and 1,964 is: 2,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.32 : 6,456.72 = 1,964 : x
  2. Step 2: Convert to fraction form
    4,305.32/6,456.72 = 1,964/x
  3. Step 3: Cross multiply
    4,305.32x = 6,456.72 × 1,964
  4. Step 4: Simplify right side
    4,305.32x = 12,680,998.08
  5. Step 5: Solve for x
    x = 12,680,998.08/4,305.32
  6. Step 6: Final answer
    x = 2,945.43

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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.