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Finding the Fourth Proportional to 4,614.65, 6,922 and 1,692.96

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Solution

The fourth proportional to 4,614.65, 6,922 and 1,692.96 is: 2,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.65 : 6,922 = 1,692.96 : x
  2. Step 2: Convert to fraction form
    4,614.65/6,922 = 1,692.96/x
  3. Step 3: Cross multiply
    4,614.65x = 6,922 × 1,692.96
  4. Step 4: Simplify right side
    4,614.65x = 11,718,634.51
  5. Step 5: Solve for x
    x = 11,718,634.51/4,614.65
  6. Step 6: Final answer
    x = 2,539.44

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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.