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Finding the Fourth Proportional to 2,654.69, 3,662.87 and 1,535.60

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Solution

The fourth proportional to 2,654.69, 3,662.87 and 1,535.60 is: 2,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.69 : 3,662.87 = 1,535.60 : x
  2. Step 2: Convert to fraction form
    2,654.69/3,662.87 = 1,535.60/x
  3. Step 3: Cross multiply
    2,654.69x = 3,662.87 × 1,535.60
  4. Step 4: Simplify right side
    2,654.69x = 5,624,677.18
  5. Step 5: Solve for x
    x = 5,624,677.18/2,654.69
  6. Step 6: Final answer
    x = 2,118.77

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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.