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Finding the Fourth Proportional to 2,383.67, 3,575.61 and 740.24

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Solution

The fourth proportional to 2,383.67, 3,575.61 and 740.24 is: 1,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.67 : 3,575.61 = 740.24 : x
  2. Step 2: Convert to fraction form
    2,383.67/3,575.61 = 740.24/x
  3. Step 3: Cross multiply
    2,383.67x = 3,575.61 × 740.24
  4. Step 4: Simplify right side
    2,383.67x = 2,646,791.67
  5. Step 5: Solve for x
    x = 2,646,791.67/2,383.67
  6. Step 6: Final answer
    x = 1,110.39

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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.