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Finding the Fourth Proportional to 2,447.76, 3,650.98 and 2,078.40

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Solution

The fourth proportional to 2,447.76, 3,650.98 and 2,078.40 is: 3,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.76 : 3,650.98 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    2,447.76/3,650.98 = 2,078.40/x
  3. Step 3: Cross multiply
    2,447.76x = 3,650.98 × 2,078.40
  4. Step 4: Simplify right side
    2,447.76x = 7,588,191.64
  5. Step 5: Solve for x
    x = 7,588,191.64/2,447.76
  6. Step 6: Final answer
    x = 3,100.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.