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Finding the Fourth Proportional to 1,947.84, 2,688.01 and 1,063.64

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Solution

The fourth proportional to 1,947.84, 2,688.01 and 1,063.64 is: 1,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.84 : 2,688.01 = 1,063.64 : x
  2. Step 2: Convert to fraction form
    1,947.84/2,688.01 = 1,063.64/x
  3. Step 3: Cross multiply
    1,947.84x = 2,688.01 × 1,063.64
  4. Step 4: Simplify right side
    1,947.84x = 2,859,065.58
  5. Step 5: Solve for x
    x = 2,859,065.58/1,947.84
  6. Step 6: Final answer
    x = 1,467.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.