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Finding the Fourth Proportional to 1,651.64, 2,472.58 and 1,446.61

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Solution

The fourth proportional to 1,651.64, 2,472.58 and 1,446.61 is: 2,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.64 : 2,472.58 = 1,446.61 : x
  2. Step 2: Convert to fraction form
    1,651.64/2,472.58 = 1,446.61/x
  3. Step 3: Cross multiply
    1,651.64x = 2,472.58 × 1,446.61
  4. Step 4: Simplify right side
    1,651.64x = 3,576,851.08
  5. Step 5: Solve for x
    x = 3,576,851.08/1,651.64
  6. Step 6: Final answer
    x = 2,165.64

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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.