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Finding the Fourth Proportional to 1,590.43, 2,194.05 and 1,031.09

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Solution

The fourth proportional to 1,590.43, 2,194.05 and 1,031.09 is: 1,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.43 : 2,194.05 = 1,031.09 : x
  2. Step 2: Convert to fraction form
    1,590.43/2,194.05 = 1,031.09/x
  3. Step 3: Cross multiply
    1,590.43x = 2,194.05 × 1,031.09
  4. Step 4: Simplify right side
    1,590.43x = 2,262,263.01
  5. Step 5: Solve for x
    x = 2,262,263.01/1,590.43
  6. Step 6: Final answer
    x = 1,422.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.