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Finding the Fourth Proportional to 2,326.64, 3,211.58 and 1,540.94

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Solution

The fourth proportional to 2,326.64, 3,211.58 and 1,540.94 is: 2,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.64 : 3,211.58 = 1,540.94 : x
  2. Step 2: Convert to fraction form
    2,326.64/3,211.58 = 1,540.94/x
  3. Step 3: Cross multiply
    2,326.64x = 3,211.58 × 1,540.94
  4. Step 4: Simplify right side
    2,326.64x = 4,948,839.88
  5. Step 5: Solve for x
    x = 4,948,839.88/2,326.64
  6. Step 6: Final answer
    x = 2,127.04

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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.