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Finding the Fourth Proportional to 2,903.70, 4,008.16 and 1,724.78

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Solution

The fourth proportional to 2,903.70, 4,008.16 and 1,724.78 is: 2,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.70 : 4,008.16 = 1,724.78 : x
  2. Step 2: Convert to fraction form
    2,903.70/4,008.16 = 1,724.78/x
  3. Step 3: Cross multiply
    2,903.70x = 4,008.16 × 1,724.78
  4. Step 4: Simplify right side
    2,903.70x = 6,913,194.20
  5. Step 5: Solve for x
    x = 6,913,194.20/2,903.70
  6. Step 6: Final answer
    x = 2,380.82

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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.