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Finding the Fourth Proportional to 2,074.92, 2,863.15 and 1,235.51

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Solution

The fourth proportional to 2,074.92, 2,863.15 and 1,235.51 is: 1,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.92 : 2,863.15 = 1,235.51 : x
  2. Step 2: Convert to fraction form
    2,074.92/2,863.15 = 1,235.51/x
  3. Step 3: Cross multiply
    2,074.92x = 2,863.15 × 1,235.51
  4. Step 4: Simplify right side
    2,074.92x = 3,537,450.46
  5. Step 5: Solve for x
    x = 3,537,450.46/2,074.92
  6. Step 6: Final answer
    x = 1,704.86

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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.