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Finding the Fourth Proportional to 2,900.69, 4,351.77 and 952.91

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Solution

The fourth proportional to 2,900.69, 4,351.77 and 952.91 is: 1,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.69 : 4,351.77 = 952.91 : x
  2. Step 2: Convert to fraction form
    2,900.69/4,351.77 = 952.91/x
  3. Step 3: Cross multiply
    2,900.69x = 4,351.77 × 952.91
  4. Step 4: Simplify right side
    2,900.69x = 4,146,845.15
  5. Step 5: Solve for x
    x = 4,146,845.15/2,900.69
  6. Step 6: Final answer
    x = 1,429.61

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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.