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Finding the Fourth Proportional to 2,394.55, 3,297.67 and 1,730.35

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Solution

The fourth proportional to 2,394.55, 3,297.67 and 1,730.35 is: 2,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.55 : 3,297.67 = 1,730.35 : x
  2. Step 2: Convert to fraction form
    2,394.55/3,297.67 = 1,730.35/x
  3. Step 3: Cross multiply
    2,394.55x = 3,297.67 × 1,730.35
  4. Step 4: Simplify right side
    2,394.55x = 5,706,123.28
  5. Step 5: Solve for x
    x = 5,706,123.28/2,394.55
  6. Step 6: Final answer
    x = 2,382.96

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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.