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Finding the Fourth Proportional to 2,516.27, 3,774.59 and 667.34

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Solution

The fourth proportional to 2,516.27, 3,774.59 and 667.34 is: 1,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.27 : 3,774.59 = 667.34 : x
  2. Step 2: Convert to fraction form
    2,516.27/3,774.59 = 667.34/x
  3. Step 3: Cross multiply
    2,516.27x = 3,774.59 × 667.34
  4. Step 4: Simplify right side
    2,516.27x = 2,518,952.45
  5. Step 5: Solve for x
    x = 2,518,952.45/2,516.27
  6. Step 6: Final answer
    x = 1,001.07

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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.