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Finding the Fourth Proportional to 2,085.68, 2,876.05 and 1,805.06

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Solution

The fourth proportional to 2,085.68, 2,876.05 and 1,805.06 is: 2,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.68 : 2,876.05 = 1,805.06 : x
  2. Step 2: Convert to fraction form
    2,085.68/2,876.05 = 1,805.06/x
  3. Step 3: Cross multiply
    2,085.68x = 2,876.05 × 1,805.06
  4. Step 4: Simplify right side
    2,085.68x = 5,191,442.81
  5. Step 5: Solve for x
    x = 5,191,442.81/2,085.68
  6. Step 6: Final answer
    x = 2,489.09

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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.