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Finding the Fourth Proportional to 1,909.59, 2,864.79 and 593.31

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Solution

The fourth proportional to 1,909.59, 2,864.79 and 593.31 is: 890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.59 : 2,864.79 = 593.31 : x
  2. Step 2: Convert to fraction form
    1,909.59/2,864.79 = 593.31/x
  3. Step 3: Cross multiply
    1,909.59x = 2,864.79 × 593.31
  4. Step 4: Simplify right side
    1,909.59x = 1,699,705.59
  5. Step 5: Solve for x
    x = 1,699,705.59/1,909.59
  6. Step 6: Final answer
    x = 890.09

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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.