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Finding the Fourth Proportional to 2,903.32, 4,007.02 and 1,724.68

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Solution

The fourth proportional to 2,903.32, 4,007.02 and 1,724.68 is: 2,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.32 : 4,007.02 = 1,724.68 : x
  2. Step 2: Convert to fraction form
    2,903.32/4,007.02 = 1,724.68/x
  3. Step 3: Cross multiply
    2,903.32x = 4,007.02 × 1,724.68
  4. Step 4: Simplify right side
    2,903.32x = 6,910,827.25
  5. Step 5: Solve for x
    x = 6,910,827.25/2,903.32
  6. Step 6: Final answer
    x = 2,380.32

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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.