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Finding the Fourth Proportional to 2,103.92, 2,903.96 and 1,264.66

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Solution

The fourth proportional to 2,103.92, 2,903.96 and 1,264.66 is: 1,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.92 : 2,903.96 = 1,264.66 : x
  2. Step 2: Convert to fraction form
    2,103.92/2,903.96 = 1,264.66/x
  3. Step 3: Cross multiply
    2,103.92x = 2,903.96 × 1,264.66
  4. Step 4: Simplify right side
    2,103.92x = 3,672,522.05
  5. Step 5: Solve for x
    x = 3,672,522.05/2,103.92
  6. Step 6: Final answer
    x = 1,745.56

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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.