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Finding the Fourth Proportional to 1,409.97, 2,111.31 and 1,253.25

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Solution

The fourth proportional to 1,409.97, 2,111.31 and 1,253.25 is: 1,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.97 : 2,111.31 = 1,253.25 : x
  2. Step 2: Convert to fraction form
    1,409.97/2,111.31 = 1,253.25/x
  3. Step 3: Cross multiply
    1,409.97x = 2,111.31 × 1,253.25
  4. Step 4: Simplify right side
    1,409.97x = 2,645,999.26
  5. Step 5: Solve for x
    x = 2,645,999.26/1,409.97
  6. Step 6: Final answer
    x = 1,876.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.