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Finding the Fourth Proportional to 2,709, 4,064.04 and 1,409.76

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Solution

The fourth proportional to 2,709, 4,064.04 and 1,409.76 is: 2,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 4,064.04 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    2,709/4,064.04 = 1,409.76/x
  3. Step 3: Cross multiply
    2,709x = 4,064.04 × 1,409.76
  4. Step 4: Simplify right side
    2,709x = 5,729,321.03
  5. Step 5: Solve for x
    x = 5,729,321.03/2,709
  6. Step 6: Final answer
    x = 2,114.92

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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.