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Finding the Fourth Proportional to 1,519.85, 2,097.45 and 922.54

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Solution

The fourth proportional to 1,519.85, 2,097.45 and 922.54 is: 1,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.85 : 2,097.45 = 922.54 : x
  2. Step 2: Convert to fraction form
    1,519.85/2,097.45 = 922.54/x
  3. Step 3: Cross multiply
    1,519.85x = 2,097.45 × 922.54
  4. Step 4: Simplify right side
    1,519.85x = 1,934,981.52
  5. Step 5: Solve for x
    x = 1,934,981.52/1,519.85
  6. Step 6: Final answer
    x = 1,273.14

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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.