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Finding the Fourth Proportional to 1,878.59, 2,592.63 and 1,092.62

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Solution

The fourth proportional to 1,878.59, 2,592.63 and 1,092.62 is: 1,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.59 : 2,592.63 = 1,092.62 : x
  2. Step 2: Convert to fraction form
    1,878.59/2,592.63 = 1,092.62/x
  3. Step 3: Cross multiply
    1,878.59x = 2,592.63 × 1,092.62
  4. Step 4: Simplify right side
    1,878.59x = 2,832,759.39
  5. Step 5: Solve for x
    x = 2,832,759.39/1,878.59
  6. Step 6: Final answer
    x = 1,507.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.