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Finding the Fourth Proportional to 1,972.85, 2,718.54 and 1,834.45

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Solution

The fourth proportional to 1,972.85, 2,718.54 and 1,834.45 is: 2,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.85 : 2,718.54 = 1,834.45 : x
  2. Step 2: Convert to fraction form
    1,972.85/2,718.54 = 1,834.45/x
  3. Step 3: Cross multiply
    1,972.85x = 2,718.54 × 1,834.45
  4. Step 4: Simplify right side
    1,972.85x = 4,987,018.91
  5. Step 5: Solve for x
    x = 4,987,018.91/1,972.85
  6. Step 6: Final answer
    x = 2,527.83

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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.