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Finding the Fourth Proportional to 2,141.68, 3,212.64 and 988.24

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Solution

The fourth proportional to 2,141.68, 3,212.64 and 988.24 is: 1,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.68 : 3,212.64 = 988.24 : x
  2. Step 2: Convert to fraction form
    2,141.68/3,212.64 = 988.24/x
  3. Step 3: Cross multiply
    2,141.68x = 3,212.64 × 988.24
  4. Step 4: Simplify right side
    2,141.68x = 3,174,859.35
  5. Step 5: Solve for x
    x = 3,174,859.35/2,141.68
  6. Step 6: Final answer
    x = 1,482.42

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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.