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Finding the Fourth Proportional to 1,889.22, 2,833.83 and 590.70

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Solution

The fourth proportional to 1,889.22, 2,833.83 and 590.70 is: 886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.22 : 2,833.83 = 590.70 : x
  2. Step 2: Convert to fraction form
    1,889.22/2,833.83 = 590.70/x
  3. Step 3: Cross multiply
    1,889.22x = 2,833.83 × 590.70
  4. Step 4: Simplify right side
    1,889.22x = 1,673,943.38
  5. Step 5: Solve for x
    x = 1,673,943.38/1,889.22
  6. Step 6: Final answer
    x = 886.05

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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.