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Finding the Fourth Proportional to 1,500.82, 2,071.70 and 1,180.96

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Solution

The fourth proportional to 1,500.82, 2,071.70 and 1,180.96 is: 1,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.82 : 2,071.70 = 1,180.96 : x
  2. Step 2: Convert to fraction form
    1,500.82/2,071.70 = 1,180.96/x
  3. Step 3: Cross multiply
    1,500.82x = 2,071.70 × 1,180.96
  4. Step 4: Simplify right side
    1,500.82x = 2,446,594.83
  5. Step 5: Solve for x
    x = 2,446,594.83/1,500.82
  6. Step 6: Final answer
    x = 1,630.17

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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.