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Finding the Fourth Proportional to 2,092.60, 2,887.88 and 1,161.08

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Solution

The fourth proportional to 2,092.60, 2,887.88 and 1,161.08 is: 1,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.60 : 2,887.88 = 1,161.08 : x
  2. Step 2: Convert to fraction form
    2,092.60/2,887.88 = 1,161.08/x
  3. Step 3: Cross multiply
    2,092.60x = 2,887.88 × 1,161.08
  4. Step 4: Simplify right side
    2,092.60x = 3,353,059.71
  5. Step 5: Solve for x
    x = 3,353,059.71/2,092.60
  6. Step 6: Final answer
    x = 1,602.34

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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.