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Finding the Fourth Proportional to 2,151.28, 3,223.14 and 1,053.46

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Solution

The fourth proportional to 2,151.28, 3,223.14 and 1,053.46 is: 1,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.28 : 3,223.14 = 1,053.46 : x
  2. Step 2: Convert to fraction form
    2,151.28/3,223.14 = 1,053.46/x
  3. Step 3: Cross multiply
    2,151.28x = 3,223.14 × 1,053.46
  4. Step 4: Simplify right side
    2,151.28x = 3,395,449.06
  5. Step 5: Solve for x
    x = 3,395,449.06/2,151.28
  6. Step 6: Final answer
    x = 1,578.34

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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.