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Finding the Fourth Proportional to 1,740.74, 2,400.75 and 1,180.31

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Solution

The fourth proportional to 1,740.74, 2,400.75 and 1,180.31 is: 1,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.74 : 2,400.75 = 1,180.31 : x
  2. Step 2: Convert to fraction form
    1,740.74/2,400.75 = 1,180.31/x
  3. Step 3: Cross multiply
    1,740.74x = 2,400.75 × 1,180.31
  4. Step 4: Simplify right side
    1,740.74x = 2,833,617.23
  5. Step 5: Solve for x
    x = 2,833,617.23/1,740.74
  6. Step 6: Final answer
    x = 1,627.83

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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.