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Finding the Fourth Proportional to 1,889.45, 2,833.77 and 590.75

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Solution

The fourth proportional to 1,889.45, 2,833.77 and 590.75 is: 886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.45 : 2,833.77 = 590.75 : x
  2. Step 2: Convert to fraction form
    1,889.45/2,833.77 = 590.75/x
  3. Step 3: Cross multiply
    1,889.45x = 2,833.77 × 590.75
  4. Step 4: Simplify right side
    1,889.45x = 1,674,049.63
  5. Step 5: Solve for x
    x = 1,674,049.63/1,889.45
  6. Step 6: Final answer
    x = 886.00

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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.