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Finding the Fourth Proportional to 2,412.57, 3,329.08 and 1,418.16

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Solution

The fourth proportional to 2,412.57, 3,329.08 and 1,418.16 is: 1,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.57 : 3,329.08 = 1,418.16 : x
  2. Step 2: Convert to fraction form
    2,412.57/3,329.08 = 1,418.16/x
  3. Step 3: Cross multiply
    2,412.57x = 3,329.08 × 1,418.16
  4. Step 4: Simplify right side
    2,412.57x = 4,721,168.09
  5. Step 5: Solve for x
    x = 4,721,168.09/2,412.57
  6. Step 6: Final answer
    x = 1,956.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.