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Finding the Fourth Proportional to 1,794.72, 2,478.96 and 1,628.40

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Solution

The fourth proportional to 1,794.72, 2,478.96 and 1,628.40 is: 2,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.72 : 2,478.96 = 1,628.40 : x
  2. Step 2: Convert to fraction form
    1,794.72/2,478.96 = 1,628.40/x
  3. Step 3: Cross multiply
    1,794.72x = 2,478.96 × 1,628.40
  4. Step 4: Simplify right side
    1,794.72x = 4,036,738.46
  5. Step 5: Solve for x
    x = 4,036,738.46/1,794.72
  6. Step 6: Final answer
    x = 2,249.23

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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.