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Finding the Fourth Proportional to 2,412.42, 3,616.20 and 1,315.68

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Solution

The fourth proportional to 2,412.42, 3,616.20 and 1,315.68 is: 1,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.42 : 3,616.20 = 1,315.68 : x
  2. Step 2: Convert to fraction form
    2,412.42/3,616.20 = 1,315.68/x
  3. Step 3: Cross multiply
    2,412.42x = 3,616.20 × 1,315.68
  4. Step 4: Simplify right side
    2,412.42x = 4,757,762.02
  5. Step 5: Solve for x
    x = 4,757,762.02/2,412.42
  6. Step 6: Final answer
    x = 1,972.19

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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.