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Finding the Fourth Proportional to 1,597.60, 2,205.44 and 1,178.04

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Solution

The fourth proportional to 1,597.60, 2,205.44 and 1,178.04 is: 1,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.60 : 2,205.44 = 1,178.04 : x
  2. Step 2: Convert to fraction form
    1,597.60/2,205.44 = 1,178.04/x
  3. Step 3: Cross multiply
    1,597.60x = 2,205.44 × 1,178.04
  4. Step 4: Simplify right side
    1,597.60x = 2,598,096.54
  5. Step 5: Solve for x
    x = 2,598,096.54/1,597.60
  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.