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Finding the Fourth Proportional to 2,085.46, 2,878.26 and 1,201.20

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Solution

The fourth proportional to 2,085.46, 2,878.26 and 1,201.20 is: 1,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.46 : 2,878.26 = 1,201.20 : x
  2. Step 2: Convert to fraction form
    2,085.46/2,878.26 = 1,201.20/x
  3. Step 3: Cross multiply
    2,085.46x = 2,878.26 × 1,201.20
  4. Step 4: Simplify right side
    2,085.46x = 3,457,365.91
  5. Step 5: Solve for x
    x = 3,457,365.91/2,085.46
  6. Step 6: Final answer
    x = 1,657.84

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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.