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Finding the Fourth Proportional to 1,948.54, 2,922.84 and 650

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Solution

The fourth proportional to 1,948.54, 2,922.84 and 650 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.54 : 2,922.84 = 650 : x
  2. Step 2: Convert to fraction form
    1,948.54/2,922.84 = 650/x
  3. Step 3: Cross multiply
    1,948.54x = 2,922.84 × 650
  4. Step 4: Simplify right side
    1,948.54x = 1,899,846
  5. Step 5: Solve for x
    x = 1,899,846/1,948.54
  6. Step 6: Final answer
    x = 975.01

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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.