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Finding the Fourth Proportional to 2,420.33, 3,630.23 and 665.47

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Solution

The fourth proportional to 2,420.33, 3,630.23 and 665.47 is: 998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.33 : 3,630.23 = 665.47 : x
  2. Step 2: Convert to fraction form
    2,420.33/3,630.23 = 665.47/x
  3. Step 3: Cross multiply
    2,420.33x = 3,630.23 × 665.47
  4. Step 4: Simplify right side
    2,420.33x = 2,415,796.76
  5. Step 5: Solve for x
    x = 2,415,796.76/2,420.33
  6. Step 6: Final answer
    x = 998.13

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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.