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Finding the Fourth Proportional to 2,128.85, 3,189.32 and 1,155.77

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Solution

The fourth proportional to 2,128.85, 3,189.32 and 1,155.77 is: 1,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.85 : 3,189.32 = 1,155.77 : x
  2. Step 2: Convert to fraction form
    2,128.85/3,189.32 = 1,155.77/x
  3. Step 3: Cross multiply
    2,128.85x = 3,189.32 × 1,155.77
  4. Step 4: Simplify right side
    2,128.85x = 3,686,114.60
  5. Step 5: Solve for x
    x = 3,686,114.60/2,128.85
  6. Step 6: Final answer
    x = 1,731.51

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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.