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Finding the Fourth Proportional to 2,976.69, 4,106.79 and 2,295.57

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Solution

The fourth proportional to 2,976.69, 4,106.79 and 2,295.57 is: 3,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.69 : 4,106.79 = 2,295.57 : x
  2. Step 2: Convert to fraction form
    2,976.69/4,106.79 = 2,295.57/x
  3. Step 3: Cross multiply
    2,976.69x = 4,106.79 × 2,295.57
  4. Step 4: Simplify right side
    2,976.69x = 9,427,423.92
  5. Step 5: Solve for x
    x = 9,427,423.92/2,976.69
  6. Step 6: Final answer
    x = 3,167.08

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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.