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Finding the Fourth Proportional to 2,412.44, 3,617.64 and 746.36

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Solution

The fourth proportional to 2,412.44, 3,617.64 and 746.36 is: 1,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.44 : 3,617.64 = 746.36 : x
  2. Step 2: Convert to fraction form
    2,412.44/3,617.64 = 746.36/x
  3. Step 3: Cross multiply
    2,412.44x = 3,617.64 × 746.36
  4. Step 4: Simplify right side
    2,412.44x = 2,700,061.79
  5. Step 5: Solve for x
    x = 2,700,061.79/2,412.44
  6. Step 6: Final answer
    x = 1,119.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.