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Finding the Fourth Proportional to 2,202.83, 3,297.84 and 1,714.40

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Solution

The fourth proportional to 2,202.83, 3,297.84 and 1,714.40 is: 2,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.83 : 3,297.84 = 1,714.40 : x
  2. Step 2: Convert to fraction form
    2,202.83/3,297.84 = 1,714.40/x
  3. Step 3: Cross multiply
    2,202.83x = 3,297.84 × 1,714.40
  4. Step 4: Simplify right side
    2,202.83x = 5,653,808.65
  5. Step 5: Solve for x
    x = 5,653,808.65/2,202.83
  6. Step 6: Final answer
    x = 2,566.61

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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.