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Finding the Fourth Proportional to 1,876.42, 2,589.42 and 1,090.63

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Solution

The fourth proportional to 1,876.42, 2,589.42 and 1,090.63 is: 1,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.42 : 2,589.42 = 1,090.63 : x
  2. Step 2: Convert to fraction form
    1,876.42/2,589.42 = 1,090.63/x
  3. Step 3: Cross multiply
    1,876.42x = 2,589.42 × 1,090.63
  4. Step 4: Simplify right side
    1,876.42x = 2,824,099.13
  5. Step 5: Solve for x
    x = 2,824,099.13/1,876.42
  6. Step 6: Final answer
    x = 1,505.05

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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.