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Finding the Fourth Proportional to 2,295.77, 3,164.53 and 2,105.09

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Solution

The fourth proportional to 2,295.77, 3,164.53 and 2,105.09 is: 2,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.77 : 3,164.53 = 2,105.09 : x
  2. Step 2: Convert to fraction form
    2,295.77/3,164.53 = 2,105.09/x
  3. Step 3: Cross multiply
    2,295.77x = 3,164.53 × 2,105.09
  4. Step 4: Simplify right side
    2,295.77x = 6,661,594.11
  5. Step 5: Solve for x
    x = 6,661,594.11/2,295.77
  6. Step 6: Final answer
    x = 2,901.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.