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Finding the Fourth Proportional to 1,709.33, 2,560.95 and 1,466.33

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Solution

The fourth proportional to 1,709.33, 2,560.95 and 1,466.33 is: 2,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.33 : 2,560.95 = 1,466.33 : x
  2. Step 2: Convert to fraction form
    1,709.33/2,560.95 = 1,466.33/x
  3. Step 3: Cross multiply
    1,709.33x = 2,560.95 × 1,466.33
  4. Step 4: Simplify right side
    1,709.33x = 3,755,185.01
  5. Step 5: Solve for x
    x = 3,755,185.01/1,709.33
  6. Step 6: Final answer
    x = 2,196.88

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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.