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Finding the Fourth Proportional to 1,876.50, 2,589.74 and 1,090.50

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Solution

The fourth proportional to 1,876.50, 2,589.74 and 1,090.50 is: 1,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.50 : 2,589.74 = 1,090.50 : x
  2. Step 2: Convert to fraction form
    1,876.50/2,589.74 = 1,090.50/x
  3. Step 3: Cross multiply
    1,876.50x = 2,589.74 × 1,090.50
  4. Step 4: Simplify right side
    1,876.50x = 2,824,106.02
  5. Step 5: Solve for x
    x = 2,824,106.02/1,876.50
  6. Step 6: Final answer
    x = 1,504.98

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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.