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Finding the Fourth Proportional to 2,084.52, 2,876.54 and 1,200.34

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Solution

The fourth proportional to 2,084.52, 2,876.54 and 1,200.34 is: 1,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.52 : 2,876.54 = 1,200.34 : x
  2. Step 2: Convert to fraction form
    2,084.52/2,876.54 = 1,200.34/x
  3. Step 3: Cross multiply
    2,084.52x = 2,876.54 × 1,200.34
  4. Step 4: Simplify right side
    2,084.52x = 3,452,826.02
  5. Step 5: Solve for x
    x = 3,452,826.02/2,084.52
  6. Step 6: Final answer
    x = 1,656.41

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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.