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Finding the Fourth Proportional to 2,653.29, 3,660.62 and 1,658.21

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Solution

The fourth proportional to 2,653.29, 3,660.62 and 1,658.21 is: 2,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.29 : 3,660.62 = 1,658.21 : x
  2. Step 2: Convert to fraction form
    2,653.29/3,660.62 = 1,658.21/x
  3. Step 3: Cross multiply
    2,653.29x = 3,660.62 × 1,658.21
  4. Step 4: Simplify right side
    2,653.29x = 6,070,050.10
  5. Step 5: Solve for x
    x = 6,070,050.10/2,653.29
  6. Step 6: Final answer
    x = 2,287.74

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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.