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Finding the Fourth Proportional to 1,522.98, 2,273.09 and 1,306.98

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Solution

The fourth proportional to 1,522.98, 2,273.09 and 1,306.98 is: 1,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.98 : 2,273.09 = 1,306.98 : x
  2. Step 2: Convert to fraction form
    1,522.98/2,273.09 = 1,306.98/x
  3. Step 3: Cross multiply
    1,522.98x = 2,273.09 × 1,306.98
  4. Step 4: Simplify right side
    1,522.98x = 2,970,876.63
  5. Step 5: Solve for x
    x = 2,970,876.63/1,522.98
  6. Step 6: Final answer
    x = 1,950.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.