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Finding the Fourth Proportional to 3,032.32, 4,548.45 and 780.84

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Solution

The fourth proportional to 3,032.32, 4,548.45 and 780.84 is: 1,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.32 : 4,548.45 = 780.84 : x
  2. Step 2: Convert to fraction form
    3,032.32/4,548.45 = 780.84/x
  3. Step 3: Cross multiply
    3,032.32x = 4,548.45 × 780.84
  4. Step 4: Simplify right side
    3,032.32x = 3,551,611.70
  5. Step 5: Solve for x
    x = 3,551,611.70/3,032.32
  6. Step 6: Final answer
    x = 1,171.25

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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.