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Finding the Fourth Proportional to 2,590.43, 3,883.08 and 1,029.47

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Solution

The fourth proportional to 2,590.43, 3,883.08 and 1,029.47 is: 1,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.43 : 3,883.08 = 1,029.47 : x
  2. Step 2: Convert to fraction form
    2,590.43/3,883.08 = 1,029.47/x
  3. Step 3: Cross multiply
    2,590.43x = 3,883.08 × 1,029.47
  4. Step 4: Simplify right side
    2,590.43x = 3,997,514.37
  5. Step 5: Solve for x
    x = 3,997,514.37/2,590.43
  6. Step 6: Final answer
    x = 1,543.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.