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Finding the Fourth Proportional to 3,264.93, 4,897.44 and 799.80

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Solution

The fourth proportional to 3,264.93, 4,897.44 and 799.80 is: 1,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.93 : 4,897.44 = 799.80 : x
  2. Step 2: Convert to fraction form
    3,264.93/4,897.44 = 799.80/x
  3. Step 3: Cross multiply
    3,264.93x = 4,897.44 × 799.80
  4. Step 4: Simplify right side
    3,264.93x = 3,916,972.51
  5. Step 5: Solve for x
    x = 3,916,972.51/3,264.93
  6. Step 6: Final answer
    x = 1,199.71

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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.