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Finding the Fourth Proportional to 2,690.42, 3,714.58 and 1,682.54

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Solution

The fourth proportional to 2,690.42, 3,714.58 and 1,682.54 is: 2,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.42 : 3,714.58 = 1,682.54 : x
  2. Step 2: Convert to fraction form
    2,690.42/3,714.58 = 1,682.54/x
  3. Step 3: Cross multiply
    2,690.42x = 3,714.58 × 1,682.54
  4. Step 4: Simplify right side
    2,690.42x = 6,249,929.43
  5. Step 5: Solve for x
    x = 6,249,929.43/2,690.42
  6. Step 6: Final answer
    x = 2,323.03

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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.