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Finding the Fourth Proportional to 2,091.96, 2,886.12 and 1,294.92

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Solution

The fourth proportional to 2,091.96, 2,886.12 and 1,294.92 is: 1,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.96 : 2,886.12 = 1,294.92 : x
  2. Step 2: Convert to fraction form
    2,091.96/2,886.12 = 1,294.92/x
  3. Step 3: Cross multiply
    2,091.96x = 2,886.12 × 1,294.92
  4. Step 4: Simplify right side
    2,091.96x = 3,737,294.51
  5. Step 5: Solve for x
    x = 3,737,294.51/2,091.96
  6. Step 6: Final answer
    x = 1,786.50

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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.