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Finding the Fourth Proportional to 2,084.58, 2,876.98 and 1,200.32

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Solution

The fourth proportional to 2,084.58, 2,876.98 and 1,200.32 is: 1,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.58 : 2,876.98 = 1,200.32 : x
  2. Step 2: Convert to fraction form
    2,084.58/2,876.98 = 1,200.32/x
  3. Step 3: Cross multiply
    2,084.58x = 2,876.98 × 1,200.32
  4. Step 4: Simplify right side
    2,084.58x = 3,453,296.63
  5. Step 5: Solve for x
    x = 3,453,296.63/2,084.58
  6. Step 6: Final answer
    x = 1,656.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.