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Finding the Fourth Proportional to 2,394.06, 3,304.14 and 1,724.08

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Solution

The fourth proportional to 2,394.06, 3,304.14 and 1,724.08 is: 2,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.06 : 3,304.14 = 1,724.08 : x
  2. Step 2: Convert to fraction form
    2,394.06/3,304.14 = 1,724.08/x
  3. Step 3: Cross multiply
    2,394.06x = 3,304.14 × 1,724.08
  4. Step 4: Simplify right side
    2,394.06x = 5,696,601.69
  5. Step 5: Solve for x
    x = 5,696,601.69/2,394.06
  6. Step 6: Final answer
    x = 2,379.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.