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Finding the Fourth Proportional to 2,460.36, 3,692.06 and 999.53

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Solution

The fourth proportional to 2,460.36, 3,692.06 and 999.53 is: 1,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.36 : 3,692.06 = 999.53 : x
  2. Step 2: Convert to fraction form
    2,460.36/3,692.06 = 999.53/x
  3. Step 3: Cross multiply
    2,460.36x = 3,692.06 × 999.53
  4. Step 4: Simplify right side
    2,460.36x = 3,690,324.73
  5. Step 5: Solve for x
    x = 3,690,324.73/2,460.36
  6. Step 6: Final answer
    x = 1,499.91

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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.