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Finding the Fourth Proportional to 1,878.56, 2,592.30 and 1,092.60

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Solution

The fourth proportional to 1,878.56, 2,592.30 and 1,092.60 is: 1,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.56 : 2,592.30 = 1,092.60 : x
  2. Step 2: Convert to fraction form
    1,878.56/2,592.30 = 1,092.60/x
  3. Step 3: Cross multiply
    1,878.56x = 2,592.30 × 1,092.60
  4. Step 4: Simplify right side
    1,878.56x = 2,832,346.98
  5. Step 5: Solve for x
    x = 2,832,346.98/1,878.56
  6. Step 6: Final answer
    x = 1,507.72

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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.