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Finding the Fourth Proportional to 4,460.98, 6,692.45 and 1,828.50

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Solution

The fourth proportional to 4,460.98, 6,692.45 and 1,828.50 is: 2,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.98 : 6,692.45 = 1,828.50 : x
  2. Step 2: Convert to fraction form
    4,460.98/6,692.45 = 1,828.50/x
  3. Step 3: Cross multiply
    4,460.98x = 6,692.45 × 1,828.50
  4. Step 4: Simplify right side
    4,460.98x = 12,237,135.68
  5. Step 5: Solve for x
    x = 12,237,135.68/4,460.98
  6. Step 6: Final answer
    x = 2,743.15

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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.