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Finding the Fourth Proportional to 2,424.37, 3,637.47 and 964.56

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Solution

The fourth proportional to 2,424.37, 3,637.47 and 964.56 is: 1,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.37 : 3,637.47 = 964.56 : x
  2. Step 2: Convert to fraction form
    2,424.37/3,637.47 = 964.56/x
  3. Step 3: Cross multiply
    2,424.37x = 3,637.47 × 964.56
  4. Step 4: Simplify right side
    2,424.37x = 3,508,539.88
  5. Step 5: Solve for x
    x = 3,508,539.88/2,424.37
  6. Step 6: Final answer
    x = 1,447.20

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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.