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Finding the Fourth Proportional to 2,085.66, 2,878.20 and 1,201.32

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Solution

The fourth proportional to 2,085.66, 2,878.20 and 1,201.32 is: 1,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.66 : 2,878.20 = 1,201.32 : x
  2. Step 2: Convert to fraction form
    2,085.66/2,878.20 = 1,201.32/x
  3. Step 3: Cross multiply
    2,085.66x = 2,878.20 × 1,201.32
  4. Step 4: Simplify right side
    2,085.66x = 3,457,639.22
  5. Step 5: Solve for x
    x = 3,457,639.22/2,085.66
  6. Step 6: Final answer
    x = 1,657.82

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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.