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Finding the Fourth Proportional to 3,095.85, 4,641.72 and 1,709.85

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Solution

The fourth proportional to 3,095.85, 4,641.72 and 1,709.85 is: 2,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.85 : 4,641.72 = 1,709.85 : x
  2. Step 2: Convert to fraction form
    3,095.85/4,641.72 = 1,709.85/x
  3. Step 3: Cross multiply
    3,095.85x = 4,641.72 × 1,709.85
  4. Step 4: Simplify right side
    3,095.85x = 7,936,644.94
  5. Step 5: Solve for x
    x = 7,936,644.94/3,095.85
  6. Step 6: Final answer
    x = 2,563.64

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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.