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Finding the Fourth Proportional to 2,316.44, 3,473.82 and 672.55

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Solution

The fourth proportional to 2,316.44, 3,473.82 and 672.55 is: 1,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.44 : 3,473.82 = 672.55 : x
  2. Step 2: Convert to fraction form
    2,316.44/3,473.82 = 672.55/x
  3. Step 3: Cross multiply
    2,316.44x = 3,473.82 × 672.55
  4. Step 4: Simplify right side
    2,316.44x = 2,336,308.96
  5. Step 5: Solve for x
    x = 2,336,308.96/2,316.44
  6. Step 6: Final answer
    x = 1,008.58

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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.