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Finding the Fourth Proportional to 2,048.46, 3,072.69 and 749.63

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Solution

The fourth proportional to 2,048.46, 3,072.69 and 749.63 is: 1,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.46 : 3,072.69 = 749.63 : x
  2. Step 2: Convert to fraction form
    2,048.46/3,072.69 = 749.63/x
  3. Step 3: Cross multiply
    2,048.46x = 3,072.69 × 749.63
  4. Step 4: Simplify right side
    2,048.46x = 2,303,380.60
  5. Step 5: Solve for x
    x = 2,303,380.60/2,048.46
  6. Step 6: Final answer
    x = 1,124.45

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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.