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Finding the Fourth Proportional to 1,431.42, 2,147.46 and 651.64

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Solution

The fourth proportional to 1,431.42, 2,147.46 and 651.64 is: 977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.42 : 2,147.46 = 651.64 : x
  2. Step 2: Convert to fraction form
    1,431.42/2,147.46 = 651.64/x
  3. Step 3: Cross multiply
    1,431.42x = 2,147.46 × 651.64
  4. Step 4: Simplify right side
    1,431.42x = 1,399,367.58
  5. Step 5: Solve for x
    x = 1,399,367.58/1,431.42
  6. Step 6: Final answer
    x = 977.61

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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.