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Finding the Fourth Proportional to 2,412.05, 3,620.13 and 1,720.42

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Solution

The fourth proportional to 2,412.05, 3,620.13 and 1,720.42 is: 2,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.05 : 3,620.13 = 1,720.42 : x
  2. Step 2: Convert to fraction form
    2,412.05/3,620.13 = 1,720.42/x
  3. Step 3: Cross multiply
    2,412.05x = 3,620.13 × 1,720.42
  4. Step 4: Simplify right side
    2,412.05x = 6,228,144.05
  5. Step 5: Solve for x
    x = 6,228,144.05/2,412.05
  6. Step 6: Final answer
    x = 2,582.10

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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.