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Finding the Fourth Proportional to 2,972.75, 4,103.48 and 1,730.75

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Solution

The fourth proportional to 2,972.75, 4,103.48 and 1,730.75 is: 2,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.75 : 4,103.48 = 1,730.75 : x
  2. Step 2: Convert to fraction form
    2,972.75/4,103.48 = 1,730.75/x
  3. Step 3: Cross multiply
    2,972.75x = 4,103.48 × 1,730.75
  4. Step 4: Simplify right side
    2,972.75x = 7,102,098.01
  5. Step 5: Solve for x
    x = 7,102,098.01/2,972.75
  6. Step 6: Final answer
    x = 2,389.07

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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.