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Finding the Fourth Proportional to 2,654.81, 3,655.83 and 2,597.30

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Solution

The fourth proportional to 2,654.81, 3,655.83 and 2,597.30 is: 3,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.81 : 3,655.83 = 2,597.30 : x
  2. Step 2: Convert to fraction form
    2,654.81/3,655.83 = 2,597.30/x
  3. Step 3: Cross multiply
    2,654.81x = 3,655.83 × 2,597.30
  4. Step 4: Simplify right side
    2,654.81x = 9,495,287.26
  5. Step 5: Solve for x
    x = 9,495,287.26/2,654.81
  6. Step 6: Final answer
    x = 3,576.64

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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.