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Finding the Fourth Proportional to 2,653.59, 3,662.64 and 1,658.28

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Solution

The fourth proportional to 2,653.59, 3,662.64 and 1,658.28 is: 2,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.59 : 3,662.64 = 1,658.28 : x
  2. Step 2: Convert to fraction form
    2,653.59/3,662.64 = 1,658.28/x
  3. Step 3: Cross multiply
    2,653.59x = 3,662.64 × 1,658.28
  4. Step 4: Simplify right side
    2,653.59x = 6,073,682.66
  5. Step 5: Solve for x
    x = 6,073,682.66/2,653.59
  6. Step 6: Final answer
    x = 2,288.85

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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.