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Finding the Fourth Proportional to 1,878.05, 2,592.01 and 1,092.55

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Solution

The fourth proportional to 1,878.05, 2,592.01 and 1,092.55 is: 1,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.05 : 2,592.01 = 1,092.55 : x
  2. Step 2: Convert to fraction form
    1,878.05/2,592.01 = 1,092.55/x
  3. Step 3: Cross multiply
    1,878.05x = 2,592.01 × 1,092.55
  4. Step 4: Simplify right side
    1,878.05x = 2,831,887.57
  5. Step 5: Solve for x
    x = 2,831,887.57/1,878.05
  6. Step 6: Final answer
    x = 1,507.89

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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.