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Finding the Fourth Proportional to 2,662.54, 3,967.05 and 2,513.50

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Solution

The fourth proportional to 2,662.54, 3,967.05 and 2,513.50 is: 3,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.54 : 3,967.05 = 2,513.50 : x
  2. Step 2: Convert to fraction form
    2,662.54/3,967.05 = 2,513.50/x
  3. Step 3: Cross multiply
    2,662.54x = 3,967.05 × 2,513.50
  4. Step 4: Simplify right side
    2,662.54x = 9,971,180.18
  5. Step 5: Solve for x
    x = 9,971,180.18/2,662.54
  6. Step 6: Final answer
    x = 3,744.99

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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.