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Finding the Fourth Proportional to 4,468.46, 6,696.50 and 1,692.18

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Solution

The fourth proportional to 4,468.46, 6,696.50 and 1,692.18 is: 2,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.46 : 6,696.50 = 1,692.18 : x
  2. Step 2: Convert to fraction form
    4,468.46/6,696.50 = 1,692.18/x
  3. Step 3: Cross multiply
    4,468.46x = 6,696.50 × 1,692.18
  4. Step 4: Simplify right side
    4,468.46x = 11,331,674.91
  5. Step 5: Solve for x
    x = 11,331,674.91/4,468.46
  6. Step 6: Final answer
    x = 2,535.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.