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Finding the Fourth Proportional to 2,539.80, 3,809.70 and 1,883.70

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Solution

The fourth proportional to 2,539.80, 3,809.70 and 1,883.70 is: 2,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.80 : 3,809.70 = 1,883.70 : x
  2. Step 2: Convert to fraction form
    2,539.80/3,809.70 = 1,883.70/x
  3. Step 3: Cross multiply
    2,539.80x = 3,809.70 × 1,883.70
  4. Step 4: Simplify right side
    2,539.80x = 7,176,331.89
  5. Step 5: Solve for x
    x = 7,176,331.89/2,539.80
  6. Step 6: Final answer
    x = 2,825.55

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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.