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Finding the Fourth Proportional to 2,421.62, 3,629.94 and 940.44

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Solution

The fourth proportional to 2,421.62, 3,629.94 and 940.44 is: 1,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.62 : 3,629.94 = 940.44 : x
  2. Step 2: Convert to fraction form
    2,421.62/3,629.94 = 940.44/x
  3. Step 3: Cross multiply
    2,421.62x = 3,629.94 × 940.44
  4. Step 4: Simplify right side
    2,421.62x = 3,413,740.77
  5. Step 5: Solve for x
    x = 3,413,740.77/2,421.62
  6. Step 6: Final answer
    x = 1,409.69

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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.