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Finding the Fourth Proportional to 2,091.51, 2,885.90 and 1,305

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Solution

The fourth proportional to 2,091.51, 2,885.90 and 1,305 is: 1,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.51 : 2,885.90 = 1,305 : x
  2. Step 2: Convert to fraction form
    2,091.51/2,885.90 = 1,305/x
  3. Step 3: Cross multiply
    2,091.51x = 2,885.90 × 1,305
  4. Step 4: Simplify right side
    2,091.51x = 3,766,092.98
  5. Step 5: Solve for x
    x = 3,766,092.98/2,091.51
  6. Step 6: Final answer
    x = 1,800.66

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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.