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Finding the Fourth Proportional to 1,584.64, 2,375.68 and 672

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Solution

The fourth proportional to 1,584.64, 2,375.68 and 672 is: 1,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.64 : 2,375.68 = 672 : x
  2. Step 2: Convert to fraction form
    1,584.64/2,375.68 = 672/x
  3. Step 3: Cross multiply
    1,584.64x = 2,375.68 × 672
  4. Step 4: Simplify right side
    1,584.64x = 1,596,456.96
  5. Step 5: Solve for x
    x = 1,596,456.96/1,584.64
  6. Step 6: Final answer
    x = 1,007.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.