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Finding the Fourth Proportional to 2,172.88, 2,998.42 and 1,425.68

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Solution

The fourth proportional to 2,172.88, 2,998.42 and 1,425.68 is: 1,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.88 : 2,998.42 = 1,425.68 : x
  2. Step 2: Convert to fraction form
    2,172.88/2,998.42 = 1,425.68/x
  3. Step 3: Cross multiply
    2,172.88x = 2,998.42 × 1,425.68
  4. Step 4: Simplify right side
    2,172.88x = 4,274,787.43
  5. Step 5: Solve for x
    x = 4,274,787.43/2,172.88
  6. Step 6: Final answer
    x = 1,967.34

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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.