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Finding the Fourth Proportional to 2,473.49, 3,410.34 and 1,914.59

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Solution

The fourth proportional to 2,473.49, 3,410.34 and 1,914.59 is: 2,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.49 : 3,410.34 = 1,914.59 : x
  2. Step 2: Convert to fraction form
    2,473.49/3,410.34 = 1,914.59/x
  3. Step 3: Cross multiply
    2,473.49x = 3,410.34 × 1,914.59
  4. Step 4: Simplify right side
    2,473.49x = 6,529,385.81
  5. Step 5: Solve for x
    x = 6,529,385.81/2,473.49
  6. Step 6: Final answer
    x = 2,639.75

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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.