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Finding the Fourth Proportional to 1,724.90, 2,380.35 and 938.95

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Solution

The fourth proportional to 1,724.90, 2,380.35 and 938.95 is: 1,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.90 : 2,380.35 = 938.95 : x
  2. Step 2: Convert to fraction form
    1,724.90/2,380.35 = 938.95/x
  3. Step 3: Cross multiply
    1,724.90x = 2,380.35 × 938.95
  4. Step 4: Simplify right side
    1,724.90x = 2,235,029.63
  5. Step 5: Solve for x
    x = 2,235,029.63/1,724.90
  6. Step 6: Final answer
    x = 1,295.74

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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.