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Finding the Fourth Proportional to 2,326.63, 3,211.59 and 1,540.93

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Solution

The fourth proportional to 2,326.63, 3,211.59 and 1,540.93 is: 2,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.63 : 3,211.59 = 1,540.93 : x
  2. Step 2: Convert to fraction form
    2,326.63/3,211.59 = 1,540.93/x
  3. Step 3: Cross multiply
    2,326.63x = 3,211.59 × 1,540.93
  4. Step 4: Simplify right side
    2,326.63x = 4,948,839.15
  5. Step 5: Solve for x
    x = 4,948,839.15/2,326.63
  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.