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Finding the Fourth Proportional to 2,398.94, 3,311.97 and 1,735.10

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Solution

The fourth proportional to 2,398.94, 3,311.97 and 1,735.10 is: 2,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.94 : 3,311.97 = 1,735.10 : x
  2. Step 2: Convert to fraction form
    2,398.94/3,311.97 = 1,735.10/x
  3. Step 3: Cross multiply
    2,398.94x = 3,311.97 × 1,735.10
  4. Step 4: Simplify right side
    2,398.94x = 5,746,599.15
  5. Step 5: Solve for x
    x = 5,746,599.15/2,398.94
  6. Step 6: Final answer
    x = 2,395.47

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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.