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Finding the Fourth Proportional to 1,597.05, 2,203.92 and 933.78

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Solution

The fourth proportional to 1,597.05, 2,203.92 and 933.78 is: 1,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.05 : 2,203.92 = 933.78 : x
  2. Step 2: Convert to fraction form
    1,597.05/2,203.92 = 933.78/x
  3. Step 3: Cross multiply
    1,597.05x = 2,203.92 × 933.78
  4. Step 4: Simplify right side
    1,597.05x = 2,057,960.73
  5. Step 5: Solve for x
    x = 2,057,960.73/1,597.05
  6. Step 6: Final answer
    x = 1,288.60

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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.