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Finding the Fourth Proportional to 2,841.94, 3,923.80 and 1,780.14

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Solution

The fourth proportional to 2,841.94, 3,923.80 and 1,780.14 is: 2,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.94 : 3,923.80 = 1,780.14 : x
  2. Step 2: Convert to fraction form
    2,841.94/3,923.80 = 1,780.14/x
  3. Step 3: Cross multiply
    2,841.94x = 3,923.80 × 1,780.14
  4. Step 4: Simplify right side
    2,841.94x = 6,984,919.56
  5. Step 5: Solve for x
    x = 6,984,919.56/2,841.94
  6. Step 6: Final answer
    x = 2,457.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.