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Finding the Fourth Proportional to 3,232, 4,848.72 and 1,180

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Solution

The fourth proportional to 3,232, 4,848.72 and 1,180 is: 1,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232 : 4,848.72 = 1,180 : x
  2. Step 2: Convert to fraction form
    3,232/4,848.72 = 1,180/x
  3. Step 3: Cross multiply
    3,232x = 4,848.72 × 1,180
  4. Step 4: Simplify right side
    3,232x = 5,721,489.60
  5. Step 5: Solve for x
    x = 5,721,489.60/3,232
  6. Step 6: Final answer
    x = 1,770.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.