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Finding the Fourth Proportional to 2,424.54, 3,638.46 and 964.02

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Solution

The fourth proportional to 2,424.54, 3,638.46 and 964.02 is: 1,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.54 : 3,638.46 = 964.02 : x
  2. Step 2: Convert to fraction form
    2,424.54/3,638.46 = 964.02/x
  3. Step 3: Cross multiply
    2,424.54x = 3,638.46 × 964.02
  4. Step 4: Simplify right side
    2,424.54x = 3,507,548.21
  5. Step 5: Solve for x
    x = 3,507,548.21/2,424.54
  6. Step 6: Final answer
    x = 1,446.69

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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.