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Finding the Fourth Proportional to 1,974.31, 2,726.78 and 1,310.01

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Solution

The fourth proportional to 1,974.31, 2,726.78 and 1,310.01 is: 1,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.31 : 2,726.78 = 1,310.01 : x
  2. Step 2: Convert to fraction form
    1,974.31/2,726.78 = 1,310.01/x
  3. Step 3: Cross multiply
    1,974.31x = 2,726.78 × 1,310.01
  4. Step 4: Simplify right side
    1,974.31x = 3,572,109.07
  5. Step 5: Solve for x
    x = 3,572,109.07/1,974.31
  6. Step 6: Final answer
    x = 1,809.29

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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.