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Finding the Fourth Proportional to 1,947.79, 2,922.09 and 715.15

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Solution

The fourth proportional to 1,947.79, 2,922.09 and 715.15 is: 1,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.79 : 2,922.09 = 715.15 : x
  2. Step 2: Convert to fraction form
    1,947.79/2,922.09 = 715.15/x
  3. Step 3: Cross multiply
    1,947.79x = 2,922.09 × 715.15
  4. Step 4: Simplify right side
    1,947.79x = 2,089,732.66
  5. Step 5: Solve for x
    x = 2,089,732.66/1,947.79
  6. Step 6: Final answer
    x = 1,072.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.