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Finding the Fourth Proportional to 1,962.35, 2,709.23 and 1,299.77

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Solution

The fourth proportional to 1,962.35, 2,709.23 and 1,299.77 is: 1,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.35 : 2,709.23 = 1,299.77 : x
  2. Step 2: Convert to fraction form
    1,962.35/2,709.23 = 1,299.77/x
  3. Step 3: Cross multiply
    1,962.35x = 2,709.23 × 1,299.77
  4. Step 4: Simplify right side
    1,962.35x = 3,521,355.83
  5. Step 5: Solve for x
    x = 3,521,355.83/1,962.35
  6. Step 6: Final answer
    x = 1,794.46

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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.