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Finding the Fourth Proportional to 2,059.07, 3,084.48 and 946.95

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Solution

The fourth proportional to 2,059.07, 3,084.48 and 946.95 is: 1,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.07 : 3,084.48 = 946.95 : x
  2. Step 2: Convert to fraction form
    2,059.07/3,084.48 = 946.95/x
  3. Step 3: Cross multiply
    2,059.07x = 3,084.48 × 946.95
  4. Step 4: Simplify right side
    2,059.07x = 2,920,830.70
  5. Step 5: Solve for x
    x = 2,920,830.70/2,059.07
  6. Step 6: Final answer
    x = 1,418.52

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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.