Home / 1,664.34-2,297.07-966.12

Finding the Fourth Proportional to 1,664.34, 2,297.07 and 966.12

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Solution

The fourth proportional to 1,664.34, 2,297.07 and 966.12 is: 1,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.34 : 2,297.07 = 966.12 : x
  2. Step 2: Convert to fraction form
    1,664.34/2,297.07 = 966.12/x
  3. Step 3: Cross multiply
    1,664.34x = 2,297.07 × 966.12
  4. Step 4: Simplify right side
    1,664.34x = 2,219,245.27
  5. Step 5: Solve for x
    x = 2,219,245.27/1,664.34
  6. Step 6: Final answer
    x = 1,333.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.