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Finding the Fourth Proportional to 2,740.64, 4,130.04 and 2,480.84

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Solution

The fourth proportional to 2,740.64, 4,130.04 and 2,480.84 is: 3,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.64 : 4,130.04 = 2,480.84 : x
  2. Step 2: Convert to fraction form
    2,740.64/4,130.04 = 2,480.84/x
  3. Step 3: Cross multiply
    2,740.64x = 4,130.04 × 2,480.84
  4. Step 4: Simplify right side
    2,740.64x = 10,245,968.43
  5. Step 5: Solve for x
    x = 10,245,968.43/2,740.64
  6. Step 6: Final answer
    x = 3,738.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.