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Finding the Fourth Proportional to 2,658.42, 3,985.20 and 1,426.68

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Solution

The fourth proportional to 2,658.42, 3,985.20 and 1,426.68 is: 2,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.42 : 3,985.20 = 1,426.68 : x
  2. Step 2: Convert to fraction form
    2,658.42/3,985.20 = 1,426.68/x
  3. Step 3: Cross multiply
    2,658.42x = 3,985.20 × 1,426.68
  4. Step 4: Simplify right side
    2,658.42x = 5,685,605.14
  5. Step 5: Solve for x
    x = 5,685,605.14/2,658.42
  6. Step 6: Final answer
    x = 2,138.72

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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.