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Finding the Fourth Proportional to 2,709.18, 4,064.36 and 835.08

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Solution

The fourth proportional to 2,709.18, 4,064.36 and 835.08 is: 1,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.18 : 4,064.36 = 835.08 : x
  2. Step 2: Convert to fraction form
    2,709.18/4,064.36 = 835.08/x
  3. Step 3: Cross multiply
    2,709.18x = 4,064.36 × 835.08
  4. Step 4: Simplify right side
    2,709.18x = 3,394,065.75
  5. Step 5: Solve for x
    x = 3,394,065.75/2,709.18
  6. Step 6: Final answer
    x = 1,252.80

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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.