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Finding the Fourth Proportional to 1,966.48, 2,712.54 and 1,180

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Solution

The fourth proportional to 1,966.48, 2,712.54 and 1,180 is: 1,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.48 : 2,712.54 = 1,180 : x
  2. Step 2: Convert to fraction form
    1,966.48/2,712.54 = 1,180/x
  3. Step 3: Cross multiply
    1,966.48x = 2,712.54 × 1,180
  4. Step 4: Simplify right side
    1,966.48x = 3,200,797.20
  5. Step 5: Solve for x
    x = 3,200,797.20/1,966.48
  6. Step 6: Final answer
    x = 1,627.68

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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.