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Finding the Fourth Proportional to 2,179.09, 3,264.31 and 1,407.25

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Solution

The fourth proportional to 2,179.09, 3,264.31 and 1,407.25 is: 2,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.09 : 3,264.31 = 1,407.25 : x
  2. Step 2: Convert to fraction form
    2,179.09/3,264.31 = 1,407.25/x
  3. Step 3: Cross multiply
    2,179.09x = 3,264.31 × 1,407.25
  4. Step 4: Simplify right side
    2,179.09x = 4,593,700.25
  5. Step 5: Solve for x
    x = 4,593,700.25/2,179.09
  6. Step 6: Final answer
    x = 2,108.08

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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.