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Finding the Fourth Proportional to 1,909.93, 2,864.76 and 593.65

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Solution

The fourth proportional to 1,909.93, 2,864.76 and 593.65 is: 890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.93 : 2,864.76 = 593.65 : x
  2. Step 2: Convert to fraction form
    1,909.93/2,864.76 = 593.65/x
  3. Step 3: Cross multiply
    1,909.93x = 2,864.76 × 593.65
  4. Step 4: Simplify right side
    1,909.93x = 1,700,664.77
  5. Step 5: Solve for x
    x = 1,700,664.77/1,909.93
  6. Step 6: Final answer
    x = 890.43

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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.