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Finding the Fourth Proportional to 1,876.13, 2,570.26 and 1,806.02

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Solution

The fourth proportional to 1,876.13, 2,570.26 and 1,806.02 is: 2,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.13 : 2,570.26 = 1,806.02 : x
  2. Step 2: Convert to fraction form
    1,876.13/2,570.26 = 1,806.02/x
  3. Step 3: Cross multiply
    1,876.13x = 2,570.26 × 1,806.02
  4. Step 4: Simplify right side
    1,876.13x = 4,641,940.97
  5. Step 5: Solve for x
    x = 4,641,940.97/1,876.13
  6. Step 6: Final answer
    x = 2,474.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.