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Finding the Fourth Proportional to 1,971.40, 2,954.42 and 998.16

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Solution

The fourth proportional to 1,971.40, 2,954.42 and 998.16 is: 1,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.40 : 2,954.42 = 998.16 : x
  2. Step 2: Convert to fraction form
    1,971.40/2,954.42 = 998.16/x
  3. Step 3: Cross multiply
    1,971.40x = 2,954.42 × 998.16
  4. Step 4: Simplify right side
    1,971.40x = 2,948,983.87
  5. Step 5: Solve for x
    x = 2,948,983.87/1,971.40
  6. Step 6: Final answer
    x = 1,495.88

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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.