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Finding the Fourth Proportional to 2,085.96, 2,878.95 and 1,201.59

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Solution

The fourth proportional to 2,085.96, 2,878.95 and 1,201.59 is: 1,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.96 : 2,878.95 = 1,201.59 : x
  2. Step 2: Convert to fraction form
    2,085.96/2,878.95 = 1,201.59/x
  3. Step 3: Cross multiply
    2,085.96x = 2,878.95 × 1,201.59
  4. Step 4: Simplify right side
    2,085.96x = 3,459,317.53
  5. Step 5: Solve for x
    x = 3,459,317.53/2,085.96
  6. Step 6: Final answer
    x = 1,658.38

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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.