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Finding the Fourth Proportional to 2,520.66, 3,782.94 and 1,746.09

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Solution

The fourth proportional to 2,520.66, 3,782.94 and 1,746.09 is: 2,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.66 : 3,782.94 = 1,746.09 : x
  2. Step 2: Convert to fraction form
    2,520.66/3,782.94 = 1,746.09/x
  3. Step 3: Cross multiply
    2,520.66x = 3,782.94 × 1,746.09
  4. Step 4: Simplify right side
    2,520.66x = 6,605,361.89
  5. Step 5: Solve for x
    x = 6,605,361.89/2,520.66
  6. Step 6: Final answer
    x = 2,620.49

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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.