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Finding the Fourth Proportional to 2,566.88, 3,850.32 and 1,470.49

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Solution

The fourth proportional to 2,566.88, 3,850.32 and 1,470.49 is: 2,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.88 : 3,850.32 = 1,470.49 : x
  2. Step 2: Convert to fraction form
    2,566.88/3,850.32 = 1,470.49/x
  3. Step 3: Cross multiply
    2,566.88x = 3,850.32 × 1,470.49
  4. Step 4: Simplify right side
    2,566.88x = 5,661,857.06
  5. Step 5: Solve for x
    x = 5,661,857.06/2,566.88
  6. Step 6: Final answer
    x = 2,205.74

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Similar ratio
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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.