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Finding the Fourth Proportional to 1,718.89, 2,577.83 and 896.74

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Solution

The fourth proportional to 1,718.89, 2,577.83 and 896.74 is: 1,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.89 : 2,577.83 = 896.74 : x
  2. Step 2: Convert to fraction form
    1,718.89/2,577.83 = 896.74/x
  3. Step 3: Cross multiply
    1,718.89x = 2,577.83 × 896.74
  4. Step 4: Simplify right side
    1,718.89x = 2,311,643.27
  5. Step 5: Solve for x
    x = 2,311,643.27/1,718.89
  6. Step 6: Final answer
    x = 1,344.85

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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.