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Finding the Fourth Proportional to 1,602.28, 2,211.21 and 1,012.72

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Solution

The fourth proportional to 1,602.28, 2,211.21 and 1,012.72 is: 1,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.28 : 2,211.21 = 1,012.72 : x
  2. Step 2: Convert to fraction form
    1,602.28/2,211.21 = 1,012.72/x
  3. Step 3: Cross multiply
    1,602.28x = 2,211.21 × 1,012.72
  4. Step 4: Simplify right side
    1,602.28x = 2,239,336.59
  5. Step 5: Solve for x
    x = 2,239,336.59/1,602.28
  6. Step 6: Final answer
    x = 1,397.59

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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.