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Finding the Fourth Proportional to 1,745.45, 2,409.84 and 1,083

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Solution

The fourth proportional to 1,745.45, 2,409.84 and 1,083 is: 1,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.45 : 2,409.84 = 1,083 : x
  2. Step 2: Convert to fraction form
    1,745.45/2,409.84 = 1,083/x
  3. Step 3: Cross multiply
    1,745.45x = 2,409.84 × 1,083
  4. Step 4: Simplify right side
    1,745.45x = 2,609,856.72
  5. Step 5: Solve for x
    x = 2,609,856.72/1,745.45
  6. Step 6: Final answer
    x = 1,495.24

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Why These Related Problems?

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