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Finding the Fourth Proportional to 2,434.73, 3,356.42 and 1,734.89

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Solution

The fourth proportional to 2,434.73, 3,356.42 and 1,734.89 is: 2,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.73 : 3,356.42 = 1,734.89 : x
  2. Step 2: Convert to fraction form
    2,434.73/3,356.42 = 1,734.89/x
  3. Step 3: Cross multiply
    2,434.73x = 3,356.42 × 1,734.89
  4. Step 4: Simplify right side
    2,434.73x = 5,822,994.04
  5. Step 5: Solve for x
    x = 5,822,994.04/2,434.73
  6. Step 6: Final answer
    x = 2,391.64

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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.