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Finding the Fourth Proportional to 2,654.17, 3,670.71 and 2,322.03

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Solution

The fourth proportional to 2,654.17, 3,670.71 and 2,322.03 is: 3,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.17 : 3,670.71 = 2,322.03 : x
  2. Step 2: Convert to fraction form
    2,654.17/3,670.71 = 2,322.03/x
  3. Step 3: Cross multiply
    2,654.17x = 3,670.71 × 2,322.03
  4. Step 4: Simplify right side
    2,654.17x = 8,523,498.74
  5. Step 5: Solve for x
    x = 8,523,498.74/2,654.17
  6. Step 6: Final answer
    x = 3,211.36

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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.