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Finding the Fourth Proportional to 2,906.48, 4,006.73 and 2,506.95

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Solution

The fourth proportional to 2,906.48, 4,006.73 and 2,506.95 is: 3,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.48 : 4,006.73 = 2,506.95 : x
  2. Step 2: Convert to fraction form
    2,906.48/4,006.73 = 2,506.95/x
  3. Step 3: Cross multiply
    2,906.48x = 4,006.73 × 2,506.95
  4. Step 4: Simplify right side
    2,906.48x = 10,044,678.04
  5. Step 5: Solve for x
    x = 10,044,678.04/2,906.48
  6. Step 6: Final answer
    x = 3,455.96

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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.