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Finding the Fourth Proportional to 2,658.64, 3,976 and 2,367.84

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Solution

The fourth proportional to 2,658.64, 3,976 and 2,367.84 is: 3,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.64 : 3,976 = 2,367.84 : x
  2. Step 2: Convert to fraction form
    2,658.64/3,976 = 2,367.84/x
  3. Step 3: Cross multiply
    2,658.64x = 3,976 × 2,367.84
  4. Step 4: Simplify right side
    2,658.64x = 9,414,531.84
  5. Step 5: Solve for x
    x = 9,414,531.84/2,658.64
  6. Step 6: Final answer
    x = 3,541.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.