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Finding the Fourth Proportional to 2,717.46, 3,752.73 and 1,786.50

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Solution

The fourth proportional to 2,717.46, 3,752.73 and 1,786.50 is: 2,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.46 : 3,752.73 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    2,717.46/3,752.73 = 1,786.50/x
  3. Step 3: Cross multiply
    2,717.46x = 3,752.73 × 1,786.50
  4. Step 4: Simplify right side
    2,717.46x = 6,704,252.15
  5. Step 5: Solve for x
    x = 6,704,252.15/2,717.46
  6. Step 6: Final answer
    x = 2,467.10

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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.