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Finding the Fourth Proportional to 1,711.33, 2,566.08 and 1,345.01

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Solution

The fourth proportional to 1,711.33, 2,566.08 and 1,345.01 is: 2,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.33 : 2,566.08 = 1,345.01 : x
  2. Step 2: Convert to fraction form
    1,711.33/2,566.08 = 1,345.01/x
  3. Step 3: Cross multiply
    1,711.33x = 2,566.08 × 1,345.01
  4. Step 4: Simplify right side
    1,711.33x = 3,451,390.43
  5. Step 5: Solve for x
    x = 3,451,390.43/1,711.33
  6. Step 6: Final answer
    x = 2,016.79

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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.