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Finding the Fourth Proportional to 3,071.80, 4,607.70 and 1,512.55

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Solution

The fourth proportional to 3,071.80, 4,607.70 and 1,512.55 is: 2,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.80 : 4,607.70 = 1,512.55 : x
  2. Step 2: Convert to fraction form
    3,071.80/4,607.70 = 1,512.55/x
  3. Step 3: Cross multiply
    3,071.80x = 4,607.70 × 1,512.55
  4. Step 4: Simplify right side
    3,071.80x = 6,969,376.64
  5. Step 5: Solve for x
    x = 6,969,376.64/3,071.80
  6. Step 6: Final answer
    x = 2,268.83

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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.