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Finding the Fourth Proportional to 1,980.37, 2,970.09 and 664.17

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Solution

The fourth proportional to 1,980.37, 2,970.09 and 664.17 is: 996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.37 : 2,970.09 = 664.17 : x
  2. Step 2: Convert to fraction form
    1,980.37/2,970.09 = 664.17/x
  3. Step 3: Cross multiply
    1,980.37x = 2,970.09 × 664.17
  4. Step 4: Simplify right side
    1,980.37x = 1,972,657.06
  5. Step 5: Solve for x
    x = 1,972,657.06/1,980.37
  6. Step 6: Final answer
    x = 996.10

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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.