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Finding the Fourth Proportional to 2,181.61, 3,269.53 and 1,024.93

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Solution

The fourth proportional to 2,181.61, 3,269.53 and 1,024.93 is: 1,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.61 : 3,269.53 = 1,024.93 : x
  2. Step 2: Convert to fraction form
    2,181.61/3,269.53 = 1,024.93/x
  3. Step 3: Cross multiply
    2,181.61x = 3,269.53 × 1,024.93
  4. Step 4: Simplify right side
    2,181.61x = 3,351,039.38
  5. Step 5: Solve for x
    x = 3,351,039.38/2,181.61
  6. Step 6: Final answer
    x = 1,536.04

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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.