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Finding the Fourth Proportional to 1,971.28, 2,958.76 and 998.08

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Solution

The fourth proportional to 1,971.28, 2,958.76 and 998.08 is: 1,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.28 : 2,958.76 = 998.08 : x
  2. Step 2: Convert to fraction form
    1,971.28/2,958.76 = 998.08/x
  3. Step 3: Cross multiply
    1,971.28x = 2,958.76 × 998.08
  4. Step 4: Simplify right side
    1,971.28x = 2,953,079.18
  5. Step 5: Solve for x
    x = 2,953,079.18/1,971.28
  6. Step 6: Final answer
    x = 1,498.05

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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.