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Finding the Fourth Proportional to 2,383.78, 3,576.23 and 740.24

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Solution

The fourth proportional to 2,383.78, 3,576.23 and 740.24 is: 1,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.78 : 3,576.23 = 740.24 : x
  2. Step 2: Convert to fraction form
    2,383.78/3,576.23 = 740.24/x
  3. Step 3: Cross multiply
    2,383.78x = 3,576.23 × 740.24
  4. Step 4: Simplify right side
    2,383.78x = 2,647,268.50
  5. Step 5: Solve for x
    x = 2,647,268.50/2,383.78
  6. Step 6: Final answer
    x = 1,110.53

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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.