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Finding the Fourth Proportional to 2,451.30, 3,677.37 and 807.40

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Solution

The fourth proportional to 2,451.30, 3,677.37 and 807.40 is: 1,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.30 : 3,677.37 = 807.40 : x
  2. Step 2: Convert to fraction form
    2,451.30/3,677.37 = 807.40/x
  3. Step 3: Cross multiply
    2,451.30x = 3,677.37 × 807.40
  4. Step 4: Simplify right side
    2,451.30x = 2,969,108.54
  5. Step 5: Solve for x
    x = 2,969,108.54/2,451.30
  6. Step 6: Final answer
    x = 1,211.24

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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.