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Finding the Fourth Proportional to 3,054.34, 4,214.73 and 1,727.76

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Solution

The fourth proportional to 3,054.34, 4,214.73 and 1,727.76 is: 2,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.34 : 4,214.73 = 1,727.76 : x
  2. Step 2: Convert to fraction form
    3,054.34/4,214.73 = 1,727.76/x
  3. Step 3: Cross multiply
    3,054.34x = 4,214.73 × 1,727.76
  4. Step 4: Simplify right side
    3,054.34x = 7,282,064.19
  5. Step 5: Solve for x
    x = 7,282,064.19/3,054.34
  6. Step 6: Final answer
    x = 2,384.17

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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.