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Finding the Fourth Proportional to 1,362.43, 2,038.74 and 1,180.45

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Solution

The fourth proportional to 1,362.43, 2,038.74 and 1,180.45 is: 1,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.43 : 2,038.74 = 1,180.45 : x
  2. Step 2: Convert to fraction form
    1,362.43/2,038.74 = 1,180.45/x
  3. Step 3: Cross multiply
    1,362.43x = 2,038.74 × 1,180.45
  4. Step 4: Simplify right side
    1,362.43x = 2,406,630.63
  5. Step 5: Solve for x
    x = 2,406,630.63/1,362.43
  6. Step 6: Final answer
    x = 1,766.43

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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.