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Finding the Fourth Proportional to 1,909.83, 2,864.75 and 523.13

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Solution

The fourth proportional to 1,909.83, 2,864.75 and 523.13 is: 784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.83 : 2,864.75 = 523.13 : x
  2. Step 2: Convert to fraction form
    1,909.83/2,864.75 = 523.13/x
  3. Step 3: Cross multiply
    1,909.83x = 2,864.75 × 523.13
  4. Step 4: Simplify right side
    1,909.83x = 1,498,636.67
  5. Step 5: Solve for x
    x = 1,498,636.67/1,909.83
  6. Step 6: Final answer
    x = 784.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.