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Finding the Fourth Proportional to 1,715.56, 2,570.82 and 1,467.30

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Solution

The fourth proportional to 1,715.56, 2,570.82 and 1,467.30 is: 2,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.56 : 2,570.82 = 1,467.30 : x
  2. Step 2: Convert to fraction form
    1,715.56/2,570.82 = 1,467.30/x
  3. Step 3: Cross multiply
    1,715.56x = 2,570.82 × 1,467.30
  4. Step 4: Simplify right side
    1,715.56x = 3,772,164.19
  5. Step 5: Solve for x
    x = 3,772,164.19/1,715.56
  6. Step 6: Final answer
    x = 2,198.79

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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.