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Finding the Fourth Proportional to 2,304.68, 3,184.71 and 1,744.16

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Solution

The fourth proportional to 2,304.68, 3,184.71 and 1,744.16 is: 2,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.68 : 3,184.71 = 1,744.16 : x
  2. Step 2: Convert to fraction form
    2,304.68/3,184.71 = 1,744.16/x
  3. Step 3: Cross multiply
    2,304.68x = 3,184.71 × 1,744.16
  4. Step 4: Simplify right side
    2,304.68x = 5,554,643.79
  5. Step 5: Solve for x
    x = 5,554,643.79/2,304.68
  6. Step 6: Final answer
    x = 2,410.16

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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.