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Finding the Fourth Proportional to 1,590.33, 2,194.14 and 1,031.24

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Solution

The fourth proportional to 1,590.33, 2,194.14 and 1,031.24 is: 1,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.33 : 2,194.14 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    1,590.33/2,194.14 = 1,031.24/x
  3. Step 3: Cross multiply
    1,590.33x = 2,194.14 × 1,031.24
  4. Step 4: Simplify right side
    1,590.33x = 2,262,673.96
  5. Step 5: Solve for x
    x = 2,262,673.96/1,590.33
  6. Step 6: Final answer
    x = 1,422.77

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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.