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Finding the Fourth Proportional to 2,824.98, 4,237.44 and 1,264.62

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Solution

The fourth proportional to 2,824.98, 4,237.44 and 1,264.62 is: 1,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.98 : 4,237.44 = 1,264.62 : x
  2. Step 2: Convert to fraction form
    2,824.98/4,237.44 = 1,264.62/x
  3. Step 3: Cross multiply
    2,824.98x = 4,237.44 × 1,264.62
  4. Step 4: Simplify right side
    2,824.98x = 5,358,751.37
  5. Step 5: Solve for x
    x = 5,358,751.37/2,824.98
  6. Step 6: Final answer
    x = 1,896.92

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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.