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Finding the Fourth Proportional to 3,024.92, 4,174.59 and 1,846.19

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Solution

The fourth proportional to 3,024.92, 4,174.59 and 1,846.19 is: 2,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.92 : 4,174.59 = 1,846.19 : x
  2. Step 2: Convert to fraction form
    3,024.92/4,174.59 = 1,846.19/x
  3. Step 3: Cross multiply
    3,024.92x = 4,174.59 × 1,846.19
  4. Step 4: Simplify right side
    3,024.92x = 7,707,065.44
  5. Step 5: Solve for x
    x = 7,707,065.44/3,024.92
  6. Step 6: Final answer
    x = 2,547.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.