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Finding the Fourth Proportional to 1,878.21, 2,591.87 and 1,092.15

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Solution

The fourth proportional to 1,878.21, 2,591.87 and 1,092.15 is: 1,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.21 : 2,591.87 = 1,092.15 : x
  2. Step 2: Convert to fraction form
    1,878.21/2,591.87 = 1,092.15/x
  3. Step 3: Cross multiply
    1,878.21x = 2,591.87 × 1,092.15
  4. Step 4: Simplify right side
    1,878.21x = 2,830,705.36
  5. Step 5: Solve for x
    x = 2,830,705.36/1,878.21
  6. Step 6: Final answer
    x = 1,507.13

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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.