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Finding the Fourth Proportional to 2,654.02, 3,654.16 and 2,022.52

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Solution

The fourth proportional to 2,654.02, 3,654.16 and 2,022.52 is: 2,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.02 : 3,654.16 = 2,022.52 : x
  2. Step 2: Convert to fraction form
    2,654.02/3,654.16 = 2,022.52/x
  3. Step 3: Cross multiply
    2,654.02x = 3,654.16 × 2,022.52
  4. Step 4: Simplify right side
    2,654.02x = 7,390,601.57
  5. Step 5: Solve for x
    x = 7,390,601.57/2,654.02
  6. Step 6: Final answer
    x = 2,784.68

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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.