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Finding the Fourth Proportional to 2,420.90, 3,631.14 and 665.90

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Solution

The fourth proportional to 2,420.90, 3,631.14 and 665.90 is: 998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.90 : 3,631.14 = 665.90 : x
  2. Step 2: Convert to fraction form
    2,420.90/3,631.14 = 665.90/x
  3. Step 3: Cross multiply
    2,420.90x = 3,631.14 × 665.90
  4. Step 4: Simplify right side
    2,420.90x = 2,417,976.13
  5. Step 5: Solve for x
    x = 2,417,976.13/2,420.90
  6. Step 6: Final answer
    x = 998.79

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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.