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Finding the Fourth Proportional to 2,653.43, 3,662.52 and 1,658.12

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Solution

The fourth proportional to 2,653.43, 3,662.52 and 1,658.12 is: 2,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.43 : 3,662.52 = 1,658.12 : x
  2. Step 2: Convert to fraction form
    2,653.43/3,662.52 = 1,658.12/x
  3. Step 3: Cross multiply
    2,653.43x = 3,662.52 × 1,658.12
  4. Step 4: Simplify right side
    2,653.43x = 6,072,897.66
  5. Step 5: Solve for x
    x = 6,072,897.66/2,653.43
  6. Step 6: Final answer
    x = 2,288.70

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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.