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Finding the Fourth Proportional to 2,544.70, 3,817.82 and 1,064.64

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Solution

The fourth proportional to 2,544.70, 3,817.82 and 1,064.64 is: 1,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.70 : 3,817.82 = 1,064.64 : x
  2. Step 2: Convert to fraction form
    2,544.70/3,817.82 = 1,064.64/x
  3. Step 3: Cross multiply
    2,544.70x = 3,817.82 × 1,064.64
  4. Step 4: Simplify right side
    2,544.70x = 4,064,603.88
  5. Step 5: Solve for x
    x = 4,064,603.88/2,544.70
  6. Step 6: Final answer
    x = 1,597.28

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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.