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Finding the Fourth Proportional to 2,658.94, 3,671.67 and 1,665.91

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Solution

The fourth proportional to 2,658.94, 3,671.67 and 1,665.91 is: 2,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.94 : 3,671.67 = 1,665.91 : x
  2. Step 2: Convert to fraction form
    2,658.94/3,671.67 = 1,665.91/x
  3. Step 3: Cross multiply
    2,658.94x = 3,671.67 × 1,665.91
  4. Step 4: Simplify right side
    2,658.94x = 6,116,671.77
  5. Step 5: Solve for x
    x = 6,116,671.77/2,658.94
  6. Step 6: Final answer
    x = 2,300.42

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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.