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Finding the Fourth Proportional to 2,678.64, 3,693.15 and 1,732.83

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Solution

The fourth proportional to 2,678.64, 3,693.15 and 1,732.83 is: 2,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.64 : 3,693.15 = 1,732.83 : x
  2. Step 2: Convert to fraction form
    2,678.64/3,693.15 = 1,732.83/x
  3. Step 3: Cross multiply
    2,678.64x = 3,693.15 × 1,732.83
  4. Step 4: Simplify right side
    2,678.64x = 6,399,601.11
  5. Step 5: Solve for x
    x = 6,399,601.11/2,678.64
  6. Step 6: Final answer
    x = 2,389.12

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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.