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Finding the Fourth Proportional to 1,597.28, 2,203.52 and 933.83

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Solution

The fourth proportional to 1,597.28, 2,203.52 and 933.83 is: 1,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.28 : 2,203.52 = 933.83 : x
  2. Step 2: Convert to fraction form
    1,597.28/2,203.52 = 933.83/x
  3. Step 3: Cross multiply
    1,597.28x = 2,203.52 × 933.83
  4. Step 4: Simplify right side
    1,597.28x = 2,057,697.39
  5. Step 5: Solve for x
    x = 2,057,697.39/1,597.28
  6. Step 6: Final answer
    x = 1,288.25

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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.