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Finding the Fourth Proportional to 1,752.68, 2,414.76 and 1,467.92

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Solution

The fourth proportional to 1,752.68, 2,414.76 and 1,467.92 is: 2,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.68 : 2,414.76 = 1,467.92 : x
  2. Step 2: Convert to fraction form
    1,752.68/2,414.76 = 1,467.92/x
  3. Step 3: Cross multiply
    1,752.68x = 2,414.76 × 1,467.92
  4. Step 4: Simplify right side
    1,752.68x = 3,544,674.50
  5. Step 5: Solve for x
    x = 3,544,674.50/1,752.68
  6. Step 6: Final answer
    x = 2,022.43

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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.