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Finding the Fourth Proportional to 1,597.42, 2,203.82 and 1,178.77

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Solution

The fourth proportional to 1,597.42, 2,203.82 and 1,178.77 is: 1,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.42 : 2,203.82 = 1,178.77 : x
  2. Step 2: Convert to fraction form
    1,597.42/2,203.82 = 1,178.77/x
  3. Step 3: Cross multiply
    1,597.42x = 2,203.82 × 1,178.77
  4. Step 4: Simplify right side
    1,597.42x = 2,597,805.01
  5. Step 5: Solve for x
    x = 2,597,805.01/1,597.42
  6. Step 6: Final answer
    x = 1,626.25

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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.