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Finding the Fourth Proportional to 2,412.99, 3,616.29 and 1,372.32

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Solution

The fourth proportional to 2,412.99, 3,616.29 and 1,372.32 is: 2,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.99 : 3,616.29 = 1,372.32 : x
  2. Step 2: Convert to fraction form
    2,412.99/3,616.29 = 1,372.32/x
  3. Step 3: Cross multiply
    2,412.99x = 3,616.29 × 1,372.32
  4. Step 4: Simplify right side
    2,412.99x = 4,962,707.09
  5. Step 5: Solve for x
    x = 4,962,707.09/2,412.99
  6. Step 6: Final answer
    x = 2,056.66

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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.