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Finding the Fourth Proportional to 2,152.09, 3,228.33 and 690.85

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Solution

The fourth proportional to 2,152.09, 3,228.33 and 690.85 is: 1,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.09 : 3,228.33 = 690.85 : x
  2. Step 2: Convert to fraction form
    2,152.09/3,228.33 = 690.85/x
  3. Step 3: Cross multiply
    2,152.09x = 3,228.33 × 690.85
  4. Step 4: Simplify right side
    2,152.09x = 2,230,291.78
  5. Step 5: Solve for x
    x = 2,230,291.78/2,152.09
  6. Step 6: Final answer
    x = 1,036.34

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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.