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Finding the Fourth Proportional to 2,424.64, 3,638.27 and 963.81

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Solution

The fourth proportional to 2,424.64, 3,638.27 and 963.81 is: 1,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.64 : 3,638.27 = 963.81 : x
  2. Step 2: Convert to fraction form
    2,424.64/3,638.27 = 963.81/x
  3. Step 3: Cross multiply
    2,424.64x = 3,638.27 × 963.81
  4. Step 4: Simplify right side
    2,424.64x = 3,506,601.01
  5. Step 5: Solve for x
    x = 3,506,601.01/2,424.64
  6. Step 6: Final answer
    x = 1,446.24

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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.