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Finding the Fourth Proportional to 2,813.62, 4,215.87 and 1,714.65

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Solution

The fourth proportional to 2,813.62, 4,215.87 and 1,714.65 is: 2,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.62 : 4,215.87 = 1,714.65 : x
  2. Step 2: Convert to fraction form
    2,813.62/4,215.87 = 1,714.65/x
  3. Step 3: Cross multiply
    2,813.62x = 4,215.87 × 1,714.65
  4. Step 4: Simplify right side
    2,813.62x = 7,228,741.50
  5. Step 5: Solve for x
    x = 7,228,741.50/2,813.62
  6. Step 6: Final answer
    x = 2,569.20

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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.