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Finding the Fourth Proportional to 4,267.78, 6,400.76 and 1,634.40

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Solution

The fourth proportional to 4,267.78, 6,400.76 and 1,634.40 is: 2,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.78 : 6,400.76 = 1,634.40 : x
  2. Step 2: Convert to fraction form
    4,267.78/6,400.76 = 1,634.40/x
  3. Step 3: Cross multiply
    4,267.78x = 6,400.76 × 1,634.40
  4. Step 4: Simplify right side
    4,267.78x = 10,461,402.14
  5. Step 5: Solve for x
    x = 10,461,402.14/4,267.78
  6. Step 6: Final answer
    x = 2,451.25

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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.