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Finding the Fourth Proportional to 2,638.92, 3,959.10 and 907.68

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Solution

The fourth proportional to 2,638.92, 3,959.10 and 907.68 is: 1,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.92 : 3,959.10 = 907.68 : x
  2. Step 2: Convert to fraction form
    2,638.92/3,959.10 = 907.68/x
  3. Step 3: Cross multiply
    2,638.92x = 3,959.10 × 907.68
  4. Step 4: Simplify right side
    2,638.92x = 3,593,595.89
  5. Step 5: Solve for x
    x = 3,593,595.89/2,638.92
  6. Step 6: Final answer
    x = 1,361.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.