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Finding the Fourth Proportional to 2,974.36, 4,106.63 and 2,658.62

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Solution

The fourth proportional to 2,974.36, 4,106.63 and 2,658.62 is: 3,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.36 : 4,106.63 = 2,658.62 : x
  2. Step 2: Convert to fraction form
    2,974.36/4,106.63 = 2,658.62/x
  3. Step 3: Cross multiply
    2,974.36x = 4,106.63 × 2,658.62
  4. Step 4: Simplify right side
    2,974.36x = 10,917,934.82
  5. Step 5: Solve for x
    x = 10,917,934.82/2,974.36
  6. Step 6: Final answer
    x = 3,670.68

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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.