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Finding the Fourth Proportional to 2,995.74, 4,493.72 and 804.46

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Solution

The fourth proportional to 2,995.74, 4,493.72 and 804.46 is: 1,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.74 : 4,493.72 = 804.46 : x
  2. Step 2: Convert to fraction form
    2,995.74/4,493.72 = 804.46/x
  3. Step 3: Cross multiply
    2,995.74x = 4,493.72 × 804.46
  4. Step 4: Simplify right side
    2,995.74x = 3,615,017.99
  5. Step 5: Solve for x
    x = 3,615,017.99/2,995.74
  6. Step 6: Final answer
    x = 1,206.72

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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.