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Finding the Fourth Proportional to 1,734.84, 2,394.75 and 1,709.55

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Solution

The fourth proportional to 1,734.84, 2,394.75 and 1,709.55 is: 2,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.84 : 2,394.75 = 1,709.55 : x
  2. Step 2: Convert to fraction form
    1,734.84/2,394.75 = 1,709.55/x
  3. Step 3: Cross multiply
    1,734.84x = 2,394.75 × 1,709.55
  4. Step 4: Simplify right side
    1,734.84x = 4,093,944.86
  5. Step 5: Solve for x
    x = 4,093,944.86/1,734.84
  6. Step 6: Final answer
    x = 2,359.84

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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.