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Finding the Fourth Proportional to 1,745.75, 2,409.23 and 999.70

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Solution

The fourth proportional to 1,745.75, 2,409.23 and 999.70 is: 1,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.75 : 2,409.23 = 999.70 : x
  2. Step 2: Convert to fraction form
    1,745.75/2,409.23 = 999.70/x
  3. Step 3: Cross multiply
    1,745.75x = 2,409.23 × 999.70
  4. Step 4: Simplify right side
    1,745.75x = 2,408,507.23
  5. Step 5: Solve for x
    x = 2,408,507.23/1,745.75
  6. Step 6: Final answer
    x = 1,379.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.