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Finding the Fourth Proportional to 1,730.70, 2,388.08 and 1,643.15

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Solution

The fourth proportional to 1,730.70, 2,388.08 and 1,643.15 is: 2,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.70 : 2,388.08 = 1,643.15 : x
  2. Step 2: Convert to fraction form
    1,730.70/2,388.08 = 1,643.15/x
  3. Step 3: Cross multiply
    1,730.70x = 2,388.08 × 1,643.15
  4. Step 4: Simplify right side
    1,730.70x = 3,923,983.73
  5. Step 5: Solve for x
    x = 3,923,983.73/1,730.70
  6. Step 6: Final answer
    x = 2,267.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.