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Finding the Fourth Proportional to 2,813.65, 4,217.10 and 1,641.40

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Solution

The fourth proportional to 2,813.65, 4,217.10 and 1,641.40 is: 2,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.65 : 4,217.10 = 1,641.40 : x
  2. Step 2: Convert to fraction form
    2,813.65/4,217.10 = 1,641.40/x
  3. Step 3: Cross multiply
    2,813.65x = 4,217.10 × 1,641.40
  4. Step 4: Simplify right side
    2,813.65x = 6,921,947.94
  5. Step 5: Solve for x
    x = 6,921,947.94/2,813.65
  6. Step 6: Final answer
    x = 2,460.13

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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.