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Finding the Fourth Proportional to 1,951.64, 2,922.59 and 1,628.45

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Solution

The fourth proportional to 1,951.64, 2,922.59 and 1,628.45 is: 2,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.64 : 2,922.59 = 1,628.45 : x
  2. Step 2: Convert to fraction form
    1,951.64/2,922.59 = 1,628.45/x
  3. Step 3: Cross multiply
    1,951.64x = 2,922.59 × 1,628.45
  4. Step 4: Simplify right side
    1,951.64x = 4,759,292.10
  5. Step 5: Solve for x
    x = 4,759,292.10/1,951.64
  6. Step 6: Final answer
    x = 2,438.61

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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.