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Finding the Fourth Proportional to 1,528.67, 2,109.57 and 890.77

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Solution

The fourth proportional to 1,528.67, 2,109.57 and 890.77 is: 1,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.67 : 2,109.57 = 890.77 : x
  2. Step 2: Convert to fraction form
    1,528.67/2,109.57 = 890.77/x
  3. Step 3: Cross multiply
    1,528.67x = 2,109.57 × 890.77
  4. Step 4: Simplify right side
    1,528.67x = 1,879,131.12
  5. Step 5: Solve for x
    x = 1,879,131.12/1,528.67
  6. Step 6: Final answer
    x = 1,229.26

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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.