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Finding the Fourth Proportional to 2,947, 4,060.76 and 2,107.02

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Solution

The fourth proportional to 2,947, 4,060.76 and 2,107.02 is: 2,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947 : 4,060.76 = 2,107.02 : x
  2. Step 2: Convert to fraction form
    2,947/4,060.76 = 2,107.02/x
  3. Step 3: Cross multiply
    2,947x = 4,060.76 × 2,107.02
  4. Step 4: Simplify right side
    2,947x = 8,556,102.54
  5. Step 5: Solve for x
    x = 8,556,102.54/2,947
  6. Step 6: Final answer
    x = 2,903.33

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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.