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Finding the Fourth Proportional to 2,461.82, 3,692.72 and 1,000.96

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Solution

The fourth proportional to 2,461.82, 3,692.72 and 1,000.96 is: 1,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.82 : 3,692.72 = 1,000.96 : x
  2. Step 2: Convert to fraction form
    2,461.82/3,692.72 = 1,000.96/x
  3. Step 3: Cross multiply
    2,461.82x = 3,692.72 × 1,000.96
  4. Step 4: Simplify right side
    2,461.82x = 3,696,265.01
  5. Step 5: Solve for x
    x = 3,696,265.01/2,461.82
  6. Step 6: Final answer
    x = 1,501.44

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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.