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Finding the Fourth Proportional to 2,783.71, 4,175.84 and 809.36

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Solution

The fourth proportional to 2,783.71, 4,175.84 and 809.36 is: 1,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.71 : 4,175.84 = 809.36 : x
  2. Step 2: Convert to fraction form
    2,783.71/4,175.84 = 809.36/x
  3. Step 3: Cross multiply
    2,783.71x = 4,175.84 × 809.36
  4. Step 4: Simplify right side
    2,783.71x = 3,379,740.65
  5. Step 5: Solve for x
    x = 3,379,740.65/2,783.71
  6. Step 6: Final answer
    x = 1,214.11

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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.