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Finding the Fourth Proportional to 2,121.51, 3,181.90 and 561.53

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Solution

The fourth proportional to 2,121.51, 3,181.90 and 561.53 is: 842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.51 : 3,181.90 = 561.53 : x
  2. Step 2: Convert to fraction form
    2,121.51/3,181.90 = 561.53/x
  3. Step 3: Cross multiply
    2,121.51x = 3,181.90 × 561.53
  4. Step 4: Simplify right side
    2,121.51x = 1,786,732.31
  5. Step 5: Solve for x
    x = 1,786,732.31/2,121.51
  6. Step 6: Final answer
    x = 842.20

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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.