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Finding the Fourth Proportional to 1,878.56, 2,591.76 and 1,180.32

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Solution

The fourth proportional to 1,878.56, 2,591.76 and 1,180.32 is: 1,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.56 : 2,591.76 = 1,180.32 : x
  2. Step 2: Convert to fraction form
    1,878.56/2,591.76 = 1,180.32/x
  3. Step 3: Cross multiply
    1,878.56x = 2,591.76 × 1,180.32
  4. Step 4: Simplify right side
    1,878.56x = 3,059,106.16
  5. Step 5: Solve for x
    x = 3,059,106.16/1,878.56
  6. Step 6: Final answer
    x = 1,628.43

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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.