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Finding the Fourth Proportional to 2,405.35, 3,590.64 and 2,224.99

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Solution

The fourth proportional to 2,405.35, 3,590.64 and 2,224.99 is: 3,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.35 : 3,590.64 = 2,224.99 : x
  2. Step 2: Convert to fraction form
    2,405.35/3,590.64 = 2,224.99/x
  3. Step 3: Cross multiply
    2,405.35x = 3,590.64 × 2,224.99
  4. Step 4: Simplify right side
    2,405.35x = 7,989,138.09
  5. Step 5: Solve for x
    x = 7,989,138.09/2,405.35
  6. Step 6: Final answer
    x = 3,321.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.