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Finding the Fourth Proportional to 1,889.64, 2,834.04 and 590.88

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Solution

The fourth proportional to 1,889.64, 2,834.04 and 590.88 is: 886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.64 : 2,834.04 = 590.88 : x
  2. Step 2: Convert to fraction form
    1,889.64/2,834.04 = 590.88/x
  3. Step 3: Cross multiply
    1,889.64x = 2,834.04 × 590.88
  4. Step 4: Simplify right side
    1,889.64x = 1,674,577.56
  5. Step 5: Solve for x
    x = 1,674,577.56/1,889.64
  6. Step 6: Final answer
    x = 886.19

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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.