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Finding the Fourth Proportional to 1,641.06, 2,462.13 and 1,025.19

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Solution

The fourth proportional to 1,641.06, 2,462.13 and 1,025.19 is: 1,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.06 : 2,462.13 = 1,025.19 : x
  2. Step 2: Convert to fraction form
    1,641.06/2,462.13 = 1,025.19/x
  3. Step 3: Cross multiply
    1,641.06x = 2,462.13 × 1,025.19
  4. Step 4: Simplify right side
    1,641.06x = 2,524,151.05
  5. Step 5: Solve for x
    x = 2,524,151.05/1,641.06
  6. Step 6: Final answer
    x = 1,538.12

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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.