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Finding the Fourth Proportional to 2,508.12, 3,761.64 and 776.34

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Solution

The fourth proportional to 2,508.12, 3,761.64 and 776.34 is: 1,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.12 : 3,761.64 = 776.34 : x
  2. Step 2: Convert to fraction form
    2,508.12/3,761.64 = 776.34/x
  3. Step 3: Cross multiply
    2,508.12x = 3,761.64 × 776.34
  4. Step 4: Simplify right side
    2,508.12x = 2,920,311.60
  5. Step 5: Solve for x
    x = 2,920,311.60/2,508.12
  6. Step 6: Final answer
    x = 1,164.34

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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.