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Finding the Fourth Proportional to 2,689.64, 3,709.12 and 1,745.09

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Solution

The fourth proportional to 2,689.64, 3,709.12 and 1,745.09 is: 2,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.64 : 3,709.12 = 1,745.09 : x
  2. Step 2: Convert to fraction form
    2,689.64/3,709.12 = 1,745.09/x
  3. Step 3: Cross multiply
    2,689.64x = 3,709.12 × 1,745.09
  4. Step 4: Simplify right side
    2,689.64x = 6,472,720.95
  5. Step 5: Solve for x
    x = 6,472,720.95/2,689.64
  6. Step 6: Final answer
    x = 2,406.54

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1.5x scale

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.