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Finding the Fourth Proportional to 1,371.06, 2,054.16 and 720.36

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Solution

The fourth proportional to 1,371.06, 2,054.16 and 720.36 is: 1,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.06 : 2,054.16 = 720.36 : x
  2. Step 2: Convert to fraction form
    1,371.06/2,054.16 = 720.36/x
  3. Step 3: Cross multiply
    1,371.06x = 2,054.16 × 720.36
  4. Step 4: Simplify right side
    1,371.06x = 1,479,734.70
  5. Step 5: Solve for x
    x = 1,479,734.70/1,371.06
  6. Step 6: Final answer
    x = 1,079.26

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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.