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Finding the Fourth Proportional to 1,734.63, 2,394.81 and 1,146.57

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Solution

The fourth proportional to 1,734.63, 2,394.81 and 1,146.57 is: 1,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.63 : 2,394.81 = 1,146.57 : x
  2. Step 2: Convert to fraction form
    1,734.63/2,394.81 = 1,146.57/x
  3. Step 3: Cross multiply
    1,734.63x = 2,394.81 × 1,146.57
  4. Step 4: Simplify right side
    1,734.63x = 2,745,817.30
  5. Step 5: Solve for x
    x = 2,745,817.30/1,734.63
  6. Step 6: Final answer
    x = 1,582.94

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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.