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Finding the Fourth Proportional to 2,540.64, 3,506.04 and 1,421.49

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Solution

The fourth proportional to 2,540.64, 3,506.04 and 1,421.49 is: 1,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.64 : 3,506.04 = 1,421.49 : x
  2. Step 2: Convert to fraction form
    2,540.64/3,506.04 = 1,421.49/x
  3. Step 3: Cross multiply
    2,540.64x = 3,506.04 × 1,421.49
  4. Step 4: Simplify right side
    2,540.64x = 4,983,800.80
  5. Step 5: Solve for x
    x = 4,983,800.80/2,540.64
  6. Step 6: Final answer
    x = 1,961.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.