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Finding the Fourth Proportional to 2,025, 3,039.12 and 1,051.38

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Solution

The fourth proportional to 2,025, 3,039.12 and 1,051.38 is: 1,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 3,039.12 = 1,051.38 : x
  2. Step 2: Convert to fraction form
    2,025/3,039.12 = 1,051.38/x
  3. Step 3: Cross multiply
    2,025x = 3,039.12 × 1,051.38
  4. Step 4: Simplify right side
    2,025x = 3,195,269.99
  5. Step 5: Solve for x
    x = 3,195,269.99/2,025
  6. Step 6: Final answer
    x = 1,577.91

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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.