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Finding the Fourth Proportional to 1,972.83, 2,959.20 and 998.40

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Solution

The fourth proportional to 1,972.83, 2,959.20 and 998.40 is: 1,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.83 : 2,959.20 = 998.40 : x
  2. Step 2: Convert to fraction form
    1,972.83/2,959.20 = 998.40/x
  3. Step 3: Cross multiply
    1,972.83x = 2,959.20 × 998.40
  4. Step 4: Simplify right side
    1,972.83x = 2,954,465.28
  5. Step 5: Solve for x
    x = 2,954,465.28/1,972.83
  6. Step 6: Final answer
    x = 1,497.58

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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.