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Finding the Fourth Proportional to 1,352.28, 2,029.32 and 890.28

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Solution

The fourth proportional to 1,352.28, 2,029.32 and 890.28 is: 1,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.28 : 2,029.32 = 890.28 : x
  2. Step 2: Convert to fraction form
    1,352.28/2,029.32 = 890.28/x
  3. Step 3: Cross multiply
    1,352.28x = 2,029.32 × 890.28
  4. Step 4: Simplify right side
    1,352.28x = 1,806,663.01
  5. Step 5: Solve for x
    x = 1,806,663.01/1,352.28
  6. Step 6: Final answer
    x = 1,336.01

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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.