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Finding the Fourth Proportional to 1,600.73, 2,208.35 and 1,157.66

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Solution

The fourth proportional to 1,600.73, 2,208.35 and 1,157.66 is: 1,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.73 : 2,208.35 = 1,157.66 : x
  2. Step 2: Convert to fraction form
    1,600.73/2,208.35 = 1,157.66/x
  3. Step 3: Cross multiply
    1,600.73x = 2,208.35 × 1,157.66
  4. Step 4: Simplify right side
    1,600.73x = 2,556,501.63
  5. Step 5: Solve for x
    x = 2,556,501.63/1,600.73
  6. Step 6: Final answer
    x = 1,597.09

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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.