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Finding the Fourth Proportional to 2,590.86, 3,887.21 and 1,358.25

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Solution

The fourth proportional to 2,590.86, 3,887.21 and 1,358.25 is: 2,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.86 : 3,887.21 = 1,358.25 : x
  2. Step 2: Convert to fraction form
    2,590.86/3,887.21 = 1,358.25/x
  3. Step 3: Cross multiply
    2,590.86x = 3,887.21 × 1,358.25
  4. Step 4: Simplify right side
    2,590.86x = 5,279,802.98
  5. Step 5: Solve for x
    x = 5,279,802.98/2,590.86
  6. Step 6: Final answer
    x = 2,037.86

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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.