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Finding the Fourth Proportional to 2,658.04, 3,966.96 and 2,588.92

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Solution

The fourth proportional to 2,658.04, 3,966.96 and 2,588.92 is: 3,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.04 : 3,966.96 = 2,588.92 : x
  2. Step 2: Convert to fraction form
    2,658.04/3,966.96 = 2,588.92/x
  3. Step 3: Cross multiply
    2,658.04x = 3,966.96 × 2,588.92
  4. Step 4: Simplify right side
    2,658.04x = 10,270,142.08
  5. Step 5: Solve for x
    x = 10,270,142.08/2,658.04
  6. Step 6: Final answer
    x = 3,863.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.