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Finding the Fourth Proportional to 2,658.40, 3,994.64 and 1,426.72

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Solution

The fourth proportional to 2,658.40, 3,994.64 and 1,426.72 is: 2,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.40 : 3,994.64 = 1,426.72 : x
  2. Step 2: Convert to fraction form
    2,658.40/3,994.64 = 1,426.72/x
  3. Step 3: Cross multiply
    2,658.40x = 3,994.64 × 1,426.72
  4. Step 4: Simplify right side
    2,658.40x = 5,699,232.78
  5. Step 5: Solve for x
    x = 5,699,232.78/2,658.40
  6. Step 6: Final answer
    x = 2,143.86

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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.