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Finding the Fourth Proportional to 2,295.74, 3,166.74 and 1,454.96

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Solution

The fourth proportional to 2,295.74, 3,166.74 and 1,454.96 is: 2,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.74 : 3,166.74 = 1,454.96 : x
  2. Step 2: Convert to fraction form
    2,295.74/3,166.74 = 1,454.96/x
  3. Step 3: Cross multiply
    2,295.74x = 3,166.74 × 1,454.96
  4. Step 4: Simplify right side
    2,295.74x = 4,607,464.20
  5. Step 5: Solve for x
    x = 4,607,464.20/2,295.74
  6. Step 6: Final answer
    x = 2,006.97

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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.