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Finding the Fourth Proportional to 2,652.31, 3,660.21 and 1,658.18

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Solution

The fourth proportional to 2,652.31, 3,660.21 and 1,658.18 is: 2,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.31 : 3,660.21 = 1,658.18 : x
  2. Step 2: Convert to fraction form
    2,652.31/3,660.21 = 1,658.18/x
  3. Step 3: Cross multiply
    2,652.31x = 3,660.21 × 1,658.18
  4. Step 4: Simplify right side
    2,652.31x = 6,069,268.72
  5. Step 5: Solve for x
    x = 6,069,268.72/2,652.31
  6. Step 6: Final answer
    x = 2,288.29

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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.