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Finding the Fourth Proportional to 1,909.68, 2,864.70 and 523.04

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Solution

The fourth proportional to 1,909.68, 2,864.70 and 523.04 is: 784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.68 : 2,864.70 = 523.04 : x
  2. Step 2: Convert to fraction form
    1,909.68/2,864.70 = 523.04/x
  3. Step 3: Cross multiply
    1,909.68x = 2,864.70 × 523.04
  4. Step 4: Simplify right side
    1,909.68x = 1,498,338.36
  5. Step 5: Solve for x
    x = 1,498,338.36/1,909.68
  6. Step 6: Final answer
    x = 784.60

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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.