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Finding the Fourth Proportional to 2,084.74, 2,876.94 and 1,200.54

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Solution

The fourth proportional to 2,084.74, 2,876.94 and 1,200.54 is: 1,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.74 : 2,876.94 = 1,200.54 : x
  2. Step 2: Convert to fraction form
    2,084.74/2,876.94 = 1,200.54/x
  3. Step 3: Cross multiply
    2,084.74x = 2,876.94 × 1,200.54
  4. Step 4: Simplify right side
    2,084.74x = 3,453,881.55
  5. Step 5: Solve for x
    x = 3,453,881.55/2,084.74
  6. Step 6: Final answer
    x = 1,656.74

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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.