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Finding the Fourth Proportional to 2,612.88, 3,920.46 and 969.06

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Solution

The fourth proportional to 2,612.88, 3,920.46 and 969.06 is: 1,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.88 : 3,920.46 = 969.06 : x
  2. Step 2: Convert to fraction form
    2,612.88/3,920.46 = 969.06/x
  3. Step 3: Cross multiply
    2,612.88x = 3,920.46 × 969.06
  4. Step 4: Simplify right side
    2,612.88x = 3,799,160.97
  5. Step 5: Solve for x
    x = 3,799,160.97/2,612.88
  6. Step 6: Final answer
    x = 1,454.01

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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.