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Finding the Fourth Proportional to 1,429.06, 1,972.17 and 1,079.14

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Solution

The fourth proportional to 1,429.06, 1,972.17 and 1,079.14 is: 1,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.06 : 1,972.17 = 1,079.14 : x
  2. Step 2: Convert to fraction form
    1,429.06/1,972.17 = 1,079.14/x
  3. Step 3: Cross multiply
    1,429.06x = 1,972.17 × 1,079.14
  4. Step 4: Simplify right side
    1,429.06x = 2,128,247.53
  5. Step 5: Solve for x
    x = 2,128,247.53/1,429.06
  6. Step 6: Final answer
    x = 1,489.26

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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.